4.2 Working with Integers Exponents

📖 Chapter 4 Exponential Functions
🎥 99 videos
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99
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2
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Grade Level
11

11mathCh1.1lectureTube

12 videos

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1

000. Section Intro

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2

001. 1st Law Sum Law of Exponents

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002. 2nd Law Differene Law of Exponents Formal Explanation

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⏱️ 1:590🎬 z92MZLJM08E
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003. 1st and 2nd Law informal & Negative and Zero exponent

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⏱️ 8:150🎬 IxIIvOaT9pA
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004. Negative Base Exponents

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6

005. 3rd Power Law of Exponents

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006. 4th Power of Products Law of Exponents

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007. 3rd Law of Exponents examples

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⏱️ 1:490🎬 jc1ey8I6GE4
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008. 4th Law of Exponents examples

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009. 5th Quotient Law

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⏱️ 0:580🎬 vO7T-Z8MeC8
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010. 6th and 7th Negative Power of Quotients Law of Exponents

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⏱️ 3:550🎬 bFazragPTcQ
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011. 6th 7th Law Examples

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Answer
⏱️ 1:310🎬 bzJUfrGsjd8
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11functionsNelsonCh4.2solutionsv2

87 videos

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1

001. Q1a

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Answer
📚 Related Lectures
9.1.4.1 Math, Exponents, convert from Fractions and Negative Exponents and Vice Versa
🎓 003. Negative Power of Fraction Base
🎓 002. Negative Power on denominator
🎓 001. Converting negative power to positive fraction
0🎬 7RfnYn5n80A
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2

001. Q1b

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Answer
📚 Related Lectures
9 Math, Exponents, given Negative Powers and Fraction Base, simplify
🎓 001. Negative Power exponent
0🎬 0sZrLQdYIy0
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3

001. Q1c

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Answer
📚 Related Lectures
9.1.4.1 Math, Exponents, convert from Fractions and Negative Exponents and Vice Versa
🎓 003. Negative Power of Fraction Base
🎓 002. Negative Power on denominator
🎓 001. Converting negative power to positive fraction
0🎬 2j3QQgxPyFI
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4

001. Q1d

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Answer
📚 Related Lectures
9 Math, Exponents, given Negative Powers and Fraction Base, simplify
🎓 001. Negative Power exponent
0🎬 kUOpCQ5QGto
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5

001. Q1e

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Answer
📚 Related Lectures
9 Math, Exponents, given Negative Powers and Fraction Base, simplify
🎓 001. Negative Power exponent
0🎬 c6lIGJAqE6o
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6

001. Q1f

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Answer
📚 Related Lectures
9 Math, Exponents, given.Quotient.negative.power, simplify.subtraction.rule
🎓 001. Quotient of Exponent with negative powers ex1
0🎬 2TRML4Ay0xs
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7

002. Q2a

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Answer
0🎬 d4thpTu0vSo
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002. Q2b

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Answer
📚 Related Lectures
9 Math, Exponents, given Product, solve.sum
🎓 004. Simple Exponent Equation
🎓 003. Solve sum negative base numerical
🎓 002. Solve sum Numerical base, negative powers
🎓 001. Solve sum Numerical Expon
0🎬 aM7LVVK4MnA
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9

002. Q2c

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Answer
📚 Related Lectures
9 Math, Exponents, given.Quotient.negative.power, simplify.subtraction.rule
🎓 001. Quotient of Exponent with negative powers ex1
0🎬 hadEl-0qu2A
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10

002. Q2d

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📚 Related Lectures
9 Math, Exponents, given.Quotient.negative.power, simplify.subtraction.rule
🎓 001. Quotient of Exponent with negative powers ex1
0🎬 LejfulMy94g
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11

002. Q2e

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002. Q2f

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003. Q3

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Answer
📚 Related Lectures
9 Math, Exponents, given Negative Powers and Fraction Base, simplify
🎓 001. Negative Power exponent
0🎬 XTX0-z7vYL0
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14

004. Q4a

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Answer
📚 Related Lectures
9 Math, Exponents, given Product, solve.sum
🎓 004. Simple Exponent Equation
🎓 003. Solve sum negative base numerical
🎓 002. Solve sum Numerical base, negative powers
🎓 001. Solve sum Numerical Expon
0🎬 Nb4iH_kuNbg
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15

004. Q4b

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Answer
0🎬 VxidYc1fs0U
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004. Q4c

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Answer
📚 Related Lectures
9 Math, Exponents, given Quotient, solve.subtract
🎓 002. Subtraction Rule ex2
🎓 001. Subtraction Rule of Exponents ex1
0🎬 8rUIwMqLZC4
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17

004. Q4d

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Answer
📚 Related Lectures
9 Math, Exponents, given.Quotient.negative.power, simplify.subtraction.rule
🎓 001. Quotient of Exponent with negative powers ex1
0🎬 JfjqMA6ozo4
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18

004. Q4e

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Answer
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004. Q4f

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005. Q5a

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Answer
📚 Related Lectures
9 Math, Exponents, given Product, solve.sum
🎓 004. Simple Exponent Equation
🎓 003. Solve sum negative base numerical
🎓 002. Solve sum Numerical base, negative powers
🎓 001. Solve sum Numerical Expon
0🎬 2hIj-VRJfas
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21

005. Q5b

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Answer
0🎬 ZNCn8g4JEUc
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005. Q5c

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Answer
📚 Related Lectures
9 Math, Exponents, given.Quotient.negative.power, simplify.subtraction.rule
🎓 001. Quotient of Exponent with negative powers ex1
0🎬 BbiwESeKRPU
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23

005. Q5d

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Answer
📚 Related Lectures
9 Math, Exponents, given.Quotient.negative.power, simplify.subtraction.rule
🎓 001. Quotient of Exponent with negative powers ex1
0🎬 KZTJcgNOMtQ
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24

005. Q5e

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Answer
0🎬 JUDY1PJJo54
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005. Q5f

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Answer
📚 Related Lectures
9 Math, Exponents, given Product, solve.sum
🎓 004. Simple Exponent Equation
🎓 003. Solve sum negative base numerical
🎓 002. Solve sum Numerical base, negative powers
🎓 001. Solve sum Numerical Expon
0🎬 b-I6vlz9RX4
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26

006. Q6a

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Answer
📚 Related Lectures
9 Math, Exponents, given Product, solve.sum
🎓 004. Simple Exponent Equation
🎓 003. Solve sum negative base numerical
🎓 002. Solve sum Numerical base, negative powers
🎓 001. Solve sum Numerical Expon
0🎬 RnKyElbjz3o
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27

006. Q6b

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Answer
📚 Related Lectures
9 Math, Exponents, given Product, solve.sum
🎓 004. Simple Exponent Equation
🎓 003. Solve sum negative base numerical
🎓 002. Solve sum Numerical base, negative powers
🎓 001. Solve sum Numerical Expon
0🎬 9Xj-pk73CkY
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28

006. Q6c

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Answer
📚 Related Lectures
9 Math, Exponents, given.Quotient.negative.power, simplify.subtraction.rule
🎓 001. Quotient of Exponent with negative powers ex1
0🎬 0naUH-QddBU
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29

006. Q6d

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Answer
📚 Related Lectures
9 Math, Exponents, given.Quotient.negative.power, simplify.subtraction.rule
🎓 001. Quotient of Exponent with negative powers ex1
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30

006. Q6e

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006. Q6f

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32

007. Q7a

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Answer
📚 Related Lectures
9.1.4.1 Math, Exponents, convert from Fractions and Negative Exponents and Vice Versa
🎓 003. Negative Power of Fraction Base
🎓 002. Negative Power on denominator
🎓 001. Converting negative power to positive fraction
0🎬 o6XZ5PaZa48
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33

007. Q7b

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Answer
📚 Related Lectures
9.1.4.1 Math, Exponents, convert from Fractions and Negative Exponents and Vice Versa
🎓 003. Negative Power of Fraction Base
🎓 002. Negative Power on denominator
🎓 001. Converting negative power to positive fraction
0🎬 B3AleQMYzBA
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34

007. Q7c

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Answer
📚 Related Lectures
9 Math, Exponents, given Negative Powers and Fraction Base, simplify
🎓 001. Negative Power exponent
0🎬 bs3CmuC1Gdk
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35

007. Q7d

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Answer
📚 Related Lectures
9 Math, Exponents, given Negative Powers and Fraction Base, simplify
🎓 001. Negative Power exponent
0🎬 4Lff6E381kI
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36

007. Q7e

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Answer
📚 Related Lectures
9.1.4.1 Math, Exponents, convert from Fractions and Negative Exponents and Vice Versa
🎓 003. Negative Power of Fraction Base
🎓 002. Negative Power on denominator
🎓 001. Converting negative power to positive fraction
0🎬 Z0SHTrckAkQ
▶ Watch
37

007. Q7f

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Answer
📚 Related Lectures
9.1.4.1 Math, Exponents, convert from Fractions and Negative Exponents and Vice Versa
🎓 003. Negative Power of Fraction Base
🎓 002. Negative Power on denominator
🎓 001. Converting negative power to positive fraction
0🎬 rimCOBGWhlo
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38

008. Q8a

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Answer
📚 Related Lectures
9 Math, Exponents, Negative Powers and Integer Base lecture
🎓 002. Negative Power with Negative Base
🎓 001. Negative Exponent Definition
0🎬 kznVQWMaNPI
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39

008. Q8b

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Answer
📚 Related Lectures
9 Math, Exponents, Product of Not Equal Base, convert to Prime Base and simplify
🎓 003. Prime base to simplify ex2
🎓 002. Convert to Prime base to simplify
🎓 001. Simplifying two different bases exponent
0🎬 iTFLzLMN1MA
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40

008. Q8c

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Answer
📚 Related Lectures
9 Math, Exponents, given.Quotient.negative.power, simplify.subtraction.rule
🎓 001. Quotient of Exponent with negative powers ex1
0🎬 AcdrH-24OQY
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41

008. Q8d

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Answer
📚 Related Lectures
9 Math, Exponents, Product of Not Equal Base, convert to Prime Base and simplify
🎓 003. Prime base to simplify ex2
🎓 002. Convert to Prime base to simplify
🎓 001. Simplifying two different bases exponent
0🎬 oG3rwiBeTjM
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42

008. Q8e

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Answer
📚 Related Lectures
9 Math, Exponents, Product of Not Equal Base, convert to Prime Base and simplify
🎓 003. Prime base to simplify ex2
🎓 002. Convert to Prime base to simplify
🎓 001. Simplifying two different bases exponent
0🎬 AqyuInIZy10
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43

008. Q8f

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Answer
📚 Related Lectures
9 Math, Exponents, Product of Not Equal Base, convert to Prime Base and simplify
🎓 003. Prime base to simplify ex2
🎓 002. Convert to Prime base to simplify
🎓 001. Simplifying two different bases exponent
0🎬 p2cVE8s6gFk
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44

009. Q9a

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Answer
📚 Related Lectures
9 Math, Exponents, Negative Powers and Integer Base lecture
🎓 002. Negative Power with Negative Base
🎓 001. Negative Exponent Definition
0🎬 NAomGGQTUXI
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45

009. Q9b

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Answer
📚 Related Lectures
9 Math, Exponents, Negative Powers and Integer Base lecture
🎓 002. Negative Power with Negative Base
🎓 001. Negative Exponent Definition
0🎬 8MO58FKEY6g
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46

009. Q9c

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Answer
📚 Related Lectures
9 Math, Exponents, Negative Powers and Integer Base lecture
🎓 002. Negative Power with Negative Base
🎓 001. Negative Exponent Definition
0🎬 FXTRkjCuRcA
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47

009. Q9d

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Answer
📚 Related Lectures
9 Math, Exponents, Negative Powers and Integer Base lecture
🎓 002. Negative Power with Negative Base
🎓 001. Negative Exponent Definition
0🎬 uRoSO-1iVDs
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48

009. Q9e

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Answer
📚 Related Lectures
9 Math, Exponents, Negative Powers and Integer Base lecture
🎓 002. Negative Power with Negative Base
🎓 001. Negative Exponent Definition
0🎬 wsfEL3ok4jQ
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49

009. Q9f

Question
Answer
📚 Related Lectures
9.1.4.1 Math, Exponents, convert from Fractions and Negative Exponents and Vice Versa
🎓 003. Negative Power of Fraction Base
🎓 002. Negative Power on denominator
🎓 001. Converting negative power to positive fraction
0🎬 FBhmqmuNAi4
▶ Watch
50

010. Q10

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Answer
0🎬 JAssKDhif14
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51

011. Q11a

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Answer
📚 Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given.algebraic.exponent expression.simple, evaluate
🎓 001. Sub in values to evaluation in Monomial with 3 variables
0🎬 islcWy2CGg4
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52

011. Q11b

Question
Answer
📚 Related Lectures
11.2.3 Functions, Integer Exponents, given.f^g, simplify
🎓 005. Two step to solve
🎓 004. Simplifying Two var to the power of var
🎓 003. Exponent of Power
🎓 002. Subtraction Example
🎓 001. One Var example
2🎬 7MPd9Pf6E_8
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53

011. Q11c

Question
Answer
📚 Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given.Two.Var, simplify.mult
🎓 003. Inside or Outside negative first?
🎓 002. Power of Quotient two var
🎓 001. Power Rule with Two variables
0🎬 zwaJEdTIhZk
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54

011. Q11d

Question
Answer
📚 Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given Two.Var, simplify.mult.subtract
🎓 001. Two variable, simplify with Mult then Subtract
2🎬 Ia2pbReI7NU
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55

012. Q12

Question
Answer
📚 Related Lectures
9 Math, Exponents, given Product, solve.sum
🎓 004. Simple Exponent Equation
🎓 003. Solve sum negative base numerical
🎓 002. Solve sum Numerical base, negative powers
🎓 001. Solve sum Numerical Expon
0🎬 RWKjcotZx0A
▶ Watch
56

013. Q13a

Question
Answer
📚 Related Lectures
9 Math, Exponents, Product of Not Equal Base, convert to Prime Base and simplify
🎓 003. Prime base to simplify ex2
🎓 002. Convert to Prime base to simplify
🎓 001. Simplifying two different bases exponent
0🎬 l7gLCucX0p0
▶ Watch
57

013. Q13b

Question
Answer
📚 Related Lectures
9.1.4.1 Math, Exponents, convert from Fractions and Negative Exponents and Vice Versa
🎓 003. Negative Power of Fraction Base
🎓 002. Negative Power on denominator
🎓 001. Converting negative power to positive fraction
0🎬 uvafRf3Oa4k
▶ Watch
58

013. Q13c

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Answer
0🎬 ht9oNLOOE3Y
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59

013. Q13d

Question
Answer
📚 Related Lectures
9 Math, Exponent, given Sum of Exponents, combine
🎓 004. Fraction base, negative exponent
🎓 003. Subtraction of Powers with Negative Power
🎓 002. Mixing up Sum and Product Rules
🎓 001. Subtraction of Exponents
0🎬 RaIvjqwTPDs
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60

013. Q13e

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Answer
0🎬 jLnv2_DRHYs
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61

013. Q13f

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Answer
📚 Related Lectures
9 Math, Exponent, given Sum of Exponents, combine
🎓 004. Fraction base, negative exponent
🎓 003. Subtraction of Powers with Negative Power
🎓 002. Mixing up Sum and Product Rules
🎓 001. Subtraction of Exponents
0🎬 Hd-O3KHcwUA
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62

013. Q13g

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Answer
0🎬 zc8OApcPGWA
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63

013. Q13h

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Answer
📚 Related Lectures
9 Math, Exponents, Order of Operations, given (a+b)/(c+d) form, simplify
🎓 002. Compounded Fraction via negative exponent with same base
🎓 001. Compounded Fraction via Negative Exponent Terms
2🎬 XMsUM6eIyX8
▶ Watch
64

013. Q13i

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Answer
📚 Related Lectures
9 Math, Exponents, Order of Operations, given (a+b)/(c+d) form, simplify
🎓 002. Compounded Fraction via negative exponent with same base
🎓 001. Compounded Fraction via Negative Exponent Terms
1🎬 9-Hl4u7j47E
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65

014. Q14a

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Answer
0🎬 4vOLHzcNVLk
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66

014. Q14b

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Answer
0🎬 xQIpq4p-gDo
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67

014. Q14c

Question
Answer
📚 Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given.algebraic.exponent expression.simple, evaluate
🎓 001. Sub in values to evaluation in Monomial with 3 variables
0🎬 XnxQu2DTjQg
▶ Watch
68

014. Q14d

Question
Answer
📚 Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given.algebraic.exponent expression.simple, evaluate
🎓 001. Sub in values to evaluation in Monomial with 3 variables
0🎬 BZBFZXpXY2I
▶ Watch
69

014. Q14e

Question
Answer
📚 Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given.algebraic.exponent expression.simple, evaluate
🎓 001. Sub in values to evaluation in Monomial with 3 variables
0🎬 kUeQjtj6kQo
▶ Watch
70

014. Q14f

Question
Answer
📚 Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given.algebraic.exponent expression.simple, evaluate
🎓 001. Sub in values to evaluation in Monomial with 3 variables
0🎬 n6s4iz8UECM
▶ Watch
71

014. Q14g

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Answer
0🎬 JVlcgVolick
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72

014. Q14h

Question
Answer
📚 Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given.algebraic.exponent expression.simple, evaluate
🎓 001. Sub in values to evaluation in Monomial with 3 variables
0🎬 DTnAM9cRYBQ
▶ Watch
73

015. Q15a

Question
Answer
📚 Related Lectures
9 Math, Exponents, Negative Powers and Integer Base lecture
🎓 002. Negative Power with Negative Base
🎓 001. Negative Exponent Definition
1🎬 yOOkrxvgydg
▶ Watch
74

015. Q15b

Question
Answer
📚 Related Lectures
9 Math, Exponents, Negative Powers and Integer Base lecture
🎓 002. Negative Power with Negative Base
🎓 001. Negative Exponent Definition
0🎬 zWCUCgP6OjE
▶ Watch
75

016. Q16a

Question
Answer
📚 Related Lectures
11.2.4 EXPONENT EQUATIONS, given a^x=b, solve.easy
🎓 003. Change base both sides to be equal
🎓 002. linear expression on the exponent, solve
🎓 001. First Example
0🎬 H_INA9oGbIQ
▶ Watch
76

016. Q16b

Question
Answer
📚 Related Lectures
11.2.4 EXPONENT EQUATIONS, given a^x=b, solve.easy
🎓 003. Change base both sides to be equal
🎓 002. linear expression on the exponent, solve
🎓 001. First Example
0🎬 nDzLSS1gLtA
▶ Watch
77

016. Q16c

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Answer
0🎬 cwsL3DnKVYs
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78

016. Q16d

Question
Answer
📚 Related Lectures
11.2.4 EXPONENT EQUATIONS, given a^x=b, solve.easy
🎓 003. Change base both sides to be equal
🎓 002. linear expression on the exponent, solve
🎓 001. First Example
0🎬 JYwvUVgmmaY
▶ Watch
79

016. Q16e

Question
Answer
📚 Related Lectures
11.2.4 EXPONENT EQUATIONS, given a^x=b, solve.easy
🎓 003. Change base both sides to be equal
🎓 002. linear expression on the exponent, solve
🎓 001. First Example
0🎬 5Psb10JpM7Q
▶ Watch
80

016. Q16f

Question
Answer
📚 Related Lectures
11.2.4 EXPONENT EQUATIONS, given a^x=b, solve.easy
🎓 003. Change base both sides to be equal
🎓 002. linear expression on the exponent, solve
🎓 001. First Example
0🎬 iua-Mr2lFmI
▶ Watch
81

017. Q17

Question
Answer
📚 Related Lectures
11.2.4 EXPONENT EQUATIONS and Expressions
🎓 003. Simplifying exponential function expressions with negative powers
🎓 002. Expanding Binomial form
0🎬 OO5TTpsNefo
▶ Watch
82

018. Q18a

Question
Answer
📚 Related Lectures
11.2.3 Functions, Integer Exponents, given.f^g, simplify
🎓 005. Two step to solve
🎓 004. Simplifying Two var to the power of var
🎓 003. Exponent of Power
🎓 002. Subtraction Example
🎓 001. One Var example
0🎬 G8jVcg5r_UY
▶ Watch
83

018. Q18b

Question
Answer
📚 Related Lectures
11.2.3 Functions, Integer Exponents, given.f^g, simplify
🎓 005. Two step to solve
🎓 004. Simplifying Two var to the power of var
🎓 003. Exponent of Power
🎓 002. Subtraction Example
🎓 001. One Var example
0🎬 db26iI-t1-c
▶ Watch
84

018. Q18c

Question
Answer
📚 Related Lectures
11.2.3 Functions, Integer Exponents, given.f^g, simplify
🎓 005. Two step to solve
🎓 004. Simplifying Two var to the power of var
🎓 003. Exponent of Power
🎓 002. Subtraction Example
🎓 001. One Var example
0🎬 myur91mvsr4
▶ Watch
85

018. Q18d

Question
Answer
📚 Related Lectures
11.2.3 Functions, Integer Exponents, given.f^g, simplify
🎓 005. Two step to solve
🎓 004. Simplifying Two var to the power of var
🎓 003. Exponent of Power
🎓 002. Subtraction Example
🎓 001. One Var example
0🎬 AvVi0-TlXrs
▶ Watch
86

018. Q18e

Question
Answer
📚 Related Lectures
11.2.3 Functions, Integer Exponents, given.f^g, simplify
🎓 005. Two step to solve
🎓 004. Simplifying Two var to the power of var
🎓 003. Exponent of Power
🎓 002. Subtraction Example
🎓 001. One Var example
0🎬 _4K2EH3pj14
▶ Watch
87

018. Q18f

Question
Answer
📚 Related Lectures
11.2.3 Functions, Integer Exponents, given.f^g, simplify
🎓 005. Two step to solve
🎓 004. Simplifying Two var to the power of var
🎓 003. Exponent of Power
🎓 002. Subtraction Example
🎓 001. One Var example
0🎬 FR6x7bzGRWE
▶ Watch