3.2 Exponential Decay, Connecting to Negative Exponents

📖 Chapter 3 Exponential Functions
📄 Page 160
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59
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2
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160
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11

11functionsMcGrawCh3.2lecture

4 videos

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1

1 Exponential Decay with example

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2

2 Dealing with Basic Negative Powers

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3

3 Negative Exponents with Algebra Base

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4

4 Negative Exponents with Fractional Base examples

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yt.import.sol.1055

55 videos

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1

001. Q1a

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
⏱️ 0:210🎬 YuMvljmKs0o
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2

001. Q1b

Question
Answer
📚 Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given Negative Powers, convert.Positive Exponent
🎓 001. Convert to positive power ax^-n
⏱️ 0:120🎬 cCJZPwbrmyI
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3

001. Q1c

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Answer
📚 Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given Negative Powers, convert.Positive Exponent
🎓 001. Convert to positive power ax^-n
⏱️ 0:120🎬 SALD2kZrA4I
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4

001. Q1d

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Answer
📚 Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given.Two.Var, convert.positive powers
🎓 001. Two Variables, convert to positive exponents
⏱️ 0:200🎬 FYTSUIRkcKE
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5

001. Q1e

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Answer
📚 Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given Negative Powers, convert.Positive Exponent
🎓 001. Convert to positive power ax^-n
⏱️ 0:220🎬 NyQMZ9GBcjw
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6

001. Q1f

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Answer
📚 Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given Negative Powers, convert.Positive Exponent
🎓 001. Convert to positive power ax^-n
⏱️ 0:310🎬 ykv9oIvbJV0
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7

002. Q2a

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Answer
📚 Related Lectures
9.1.4 MATH, EXPONENTS with NUMERICAL BASE, given.Fraction.1/a, convert.prime.base.exponent
🎓 001. Changing Fraction into Negative Power
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8

002. Q2b

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Answer
📚 Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given Two.Var.Quotient.Product, simplify.add.subtract
🎓 001. Two variables, simplify with sum, subtraction rules of exponents
⏱️ 0:110🎬 wR9bquPQ8to
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9

003. Q3a

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
⏱️ 0:070🎬 0mG4cpxsx-Y
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10

003. Q3b

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
⏱️ 0:100🎬 irR1i-PWaWo
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11

003. Q3c

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
⏱️ 0:090🎬 Caz6QV0EVUA
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12

003. Q3d

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
⏱️ 0:130🎬 7jVX7JOKOt0
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13

003. Q3e

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
⏱️ 0:150🎬 l9W5mwhnBwg
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14

003. Q3f

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
⏱️ 0:220🎬 0TKjS4FEvgs
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15

004. Q4a

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004. Q4b

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17

004. Q4c

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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
⏱️ 0:120🎬 rlsUlEDM_Js
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18

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
⏱️ 0:160🎬 6GziWzODzqE
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19

004. Q4e

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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
⏱️ 0:120🎬 ZZADAQPOXbY
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20

004. Q4f

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
⏱️ 0:210🎬 NHZeyrX-cSY
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21

004. Q4g

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Answer
📚 Related Lectures
9 Math, EXPONENTS, Product and Quotient Rules, Sum and Subtraction Rules combined
🎓 002. Ambiguous case is done left to right
🎓 001. ADD then Subtract
⏱️ 0:190🎬 FPuI9V2qB08
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22

004. Q4h

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Answer
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23

005. Q5a

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Answer
📚 Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given Product, solve.sum
🎓 002. Product of Exponent, solve sum ex2
🎓 001. Product of Exponents with Equal Base
⏱️ 0:090🎬 cOn9XnIjaM4
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24

005. Q5b

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Answer
📚 Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given Product, solve.sum
🎓 002. Product of Exponent, solve sum ex2
🎓 001. Product of Exponents with Equal Base
⏱️ 0:390🎬 ztXGkZSUs1E
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25

005. Q5c

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Answer
📚 Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given Quotient, solve.subtract
🎓 002. Quotient of Equal base Monomial ex2
🎓 001. Quotient of Equal Base Exponent ex1
⏱️ 0:160🎬 8ogBnl87ArE
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26

005. Q5d

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Answer
📚 Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given Quotient, solve.subtract
🎓 002. Quotient of Equal base Monomial ex2
🎓 001. Quotient of Equal Base Exponent ex1
⏱️ 0:360🎬 obeShn1eQwI
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27

005. Q5e

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Answer
📚 Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given.One.Var.Negative.Powers, simplify.mult
🎓 001. given One Var Negative Powers, simplify mult
⏱️ 0:180🎬 4XOZHv_Px1k
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28

005. Q5f

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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
⏱️ 0:350🎬 ILQOCOE-1Hg
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29

006. Q6a

Question
Answer
📚 Related Lectures
9 Math, Exponents, given Negative Powers and Fraction Base, simplify
🎓 001. Negative Power exponent
⏱️ 0:120🎬 GOEtTsnuU9I
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30

006. Q6b

Question
Answer
📚 Related Lectures
9 Math, Exponents, given Negative Powers and Fraction Base, simplify
🎓 001. Negative Power exponent
⏱️ 0:490🎬 akwJY1ngcXk
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31

006. Q6c

Question
Answer
📚 Related Lectures
9 Math, Exponents, given Negative Powers and Fraction Base, simplify
🎓 001. Negative Power exponent
⏱️ 0:380🎬 LhUukDojDPY
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32

006. Q6d

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Answer
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006. Q6e

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Answer
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006. Q6f

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Answer
📚 Related Lectures
9 Math, Exponents, given Negative Powers and Fraction Base, simplify
🎓 001. Negative Power exponent
⏱️ 1:170🎬 hHo-HiqfQ5Q
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35

007. Q7a

Question
Answer
📚 Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given.Two.Var, convert.positive powers
🎓 001. Two Variables, convert to positive exponents
⏱️ 0:230🎬 EOUR_osIX0A
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36

007. Q7b

Question
Answer
📚 Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given.One.Var.(ax)^n, simplify.mult
🎓 001. Simplifying exponent of product of exponents
⏱️ 0:190🎬 wnfhINiF81I
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37

007. Q7c

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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
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38

007. Q7d

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Answer
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39

007. Q7e

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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
⏱️ 0:350🎬 prNpLGcJm88
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40

007. Q7f

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
⏱️ 0:320🎬 BIL3QA_6mVg
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41

008. Q8

Question
📚 Related Lectures
11.2.2 Functions, Exponential Function, given Modelling Equation, graph and interpret
🎓 001. Understanding Exponential Equation to model
1🎬 NTz60lT5Evo
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42

009. Q9a

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
⏱️ 0:160🎬 OOC7RYjJ05I
▶ Watch
43

009. Q9b

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
⏱️ 0:190🎬 HZBNRwIgfmo
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44

009. Q9c

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
⏱️ 0:170🎬 hKlX_CYCmQI
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45

012. Q12ab

Question
Answer
📚 Related Lectures
11.2.2 Functions, Exponential Function, given Modelling Equation, graph and interpret
🎓 001. Understanding Exponential Equation to model
⏱️ 0:590🎬 Vg5NNEi0hgg
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46

012. Q12cd

Question
Answer
📚 Related Lectures
12.4 AdvFun, Logs, given Exponent Word Problem, solve for exponent using Logs
🎓 001. Solving exponent modelling equation with logs
⏱️ 1:280🎬 0vXxdortzdw
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47

014. Q14

Question
Answer
📚 Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given Quotient, solve.subtract
🎓 002. Quotient of Equal base Monomial ex2
🎓 001. Quotient of Equal Base Exponent ex1
⏱️ 1:300🎬 fxkWEV8aG-w
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48

015. Q15

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Answer
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49

016. Q16a

Question
Answer
📚 Related Lectures
11.6.1 Functions, Finance, Compounded Interest, given A-i-n, find Present Value
🎓 003. Finding the Term of Interest
🎓 002. Monthly Interest Rate
🎓 001. A first example on Present Value
⏱️ 1:130🎬 a1w048IOb50
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50

016. Q16b

Question
Answer
📚 Related Lectures
11.6.1 Functions, Finance, Compounded Interest, given A-i-n, find Present Value
🎓 003. Finding the Term of Interest
🎓 002. Monthly Interest Rate
🎓 001. A first example on Present Value
⏱️ 1:300🎬 -7YGVoQ-VMk
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51

017. Q17

Question
Answer
📚 Related Lectures
11.6.1 Functions, Finance, Compounded Interest, given A-i-n, find Present Value
🎓 003. Finding the Term of Interest
🎓 002. Monthly Interest Rate
🎓 001. A first example on Present Value
⏱️ 0:520🎬 LVXL7IBHwrU
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52

018. Q18

Question
Answer
📚 Related Lectures
11.2.2 Functions, Exponential Function, given Modelling Equation, graph and interpret
🎓 001. Understanding Exponential Equation to model
⏱️ 2:140🎬 9ynads6Ogtc
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53

021. Q21

Question
Answer
📚 Related Lectures
11.2.4 EXPONENT EQUATIONS and Expressions
🎓 003. Simplifying exponential function expressions with negative powers
🎓 002. Expanding Binomial form
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54

022. Q22

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Answer
📚 Related Lectures
11.2.3.1 FUNCTIONS, EXPONENT GRAPHS, given.y=f(kx-p)+q.hidden.horizontal.shift, sketch
🎓 001. Exponent Function hidden Horizontal Stretch
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55

023. Q23

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Answer
📚 Related Lectures
10.1.1 MATH, Linear Systems, Algebra Challenges
🎓 001. PH
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