Properties of Exponents

Discussion in 'Other Pre-University Math' started by nycmathguy, Oct 13, 2021.

  1. nycmathguy

    nycmathguy

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    Section 3.1
    Question 69

    How is this done?
    Do 69 and I will try 70.

    20211012_194735.jpg
     
    nycmathguy, Oct 13, 2021
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  2. nycmathguy

    MathLover1

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    69.

    f(x)=3^(x-2) ..........recall property of exponents a^m/a^n=a^(m-n)

    f(x)=3^x/3^2
    f(x)=3^x/9
    f(x)=(1/9)(3^x)

    [​IMG]
     
    MathLover1, Oct 13, 2021
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  3. nycmathguy

    nycmathguy

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    Can you do 69?
     
    nycmathguy, Oct 13, 2021
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  4. nycmathguy

    MathLover1

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    I did it, take a look above picture
     
    MathLover1, Oct 13, 2021
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  5. nycmathguy

    nycmathguy

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    Yes, you did. Silly me.
     
    nycmathguy, Oct 13, 2021
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  6. nycmathguy

    nycmathguy

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    Which rules of exponents do I apply to 70, 71 and 72? I will take it from there.
     
    nycmathguy, Oct 13, 2021
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  7. nycmathguy

    MathLover1

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    70. it ask you to find option (IF ANY) are same; so, no answer option is same as any of g(x)

    in case we have 4^(x+12)=2^(2(x+12))=2^(2x+24), there is still no option for g(x)

    71. use rule 4. a^-n=1/a^n...since you have to multiply by 16, you will have 16a^-n=16(1/a^n)

    72. same case as 71; so, no answer option is same as any of g(x)
     
    Last edited: Oct 14, 2021
    MathLover1, Oct 14, 2021
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  8. nycmathguy

    nycmathguy

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    For 71, f(x) = h(x).

    16(4^-x)

    16(2^2(-x))

    16(2^(-2x))

    You say?

    Note: We are done with Section 3.1.
    We move on to Logarithmic Functions.
     
    nycmathguy, Oct 14, 2021
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  9. nycmathguy

    MathLover1

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    correct
     
    MathLover1, Oct 14, 2021
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  10. nycmathguy

    nycmathguy

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    Interesting questions. First time for me. Keep in mind that I will post common classroom questions and questions that push students beyond the lesson. Ron Larson, like most textbook authors, goes beyond the regular classroom questions to test if students truly understand the chapter lessons.
     
    nycmathguy, Oct 14, 2021
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