Simplify 1/y^-3 and identify the exponential property that you used

Question

Simplify 1/y^-3 and identify the exponential property that you used

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Nho 4 years 2021-08-06T22:08:39+00:00 1 Answers 16 views 0

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  1. haidang
    0
    2021-08-06T22:10:36+00:00
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    Answer:

    Thus,

    \frac{1}{y^{-3}}\:=y^3

    Step-by-step explanation:

    Given the expression

    \frac{1}{y^{-3}}\:

    simplifying the expression

    \frac{1}{y^{-3}}\:

    \mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}

    =\frac{1}{\frac{1}{y^3}}

    \mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}

    =\frac{y^3}{1}

    \mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{1}=a

    =y^3

    Thus,

    \frac{1}{y^{-3}}\:=y^3

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