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3 years ago

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

Mathematics

1 answer:

Anna007 [38]3 years ago

4 0

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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Answer:

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Step-by-step explanation:

Step(i):-

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Final answer:-

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