Rewrite the following without an exponent. 1/4^-4

Question

Rewrite the following without an exponent. 1/4^-4

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Hải Đăng 5 years 2021-07-19T13:56:57+00:00 1 Answers 12 views 0

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  1. sori
    0
    2021-07-19T13:58:50+00:00
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    Answer:

    \frac{1}{4^{-4}} = 256

    Step-by-step explanation:

    Given

    \frac{1}{4^{-4}}

    Required

    Write without the exponent

    \frac{1}{4^{-4}}

    Apply the following law of indices

    \frac{1}{a^m} = a^{-m}

    So, we have:

    \frac{1}{4^{-4}} = 4^{-(-4)}

    Evaluate the bracket

    \frac{1}{4^{-4}} = 4^4

    \frac{1}{4^{-4}} = 256

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