What expression is equivalent to ${(2 a)}^{- 4}$ $(2a)^-4$ ?

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What expression is equivalent to ${(2 a)}^{- 4}$ $(2a)^-4$ ?

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Answer 1 · 2016-11-26T06:03:58

$\frac{1}{16 a^{4}}$ $1/(16a^4)$

Explanation:

Hint: $a^{- n} = \frac{1}{a^{n}}$ $a^(-n)=1/a^n$

${(2 a)}^{- 4}$ $(2a)^-4$ = $\frac{1}{{(2 a)}^{4}}$ $1/(2a)^4$ = $\frac{1}{2^{4}} \times \frac{1}{a^{4}}$ $1/2^4xx1/a^4$ = $\frac{1}{16 a^{4}}$ $1/(16a^4)$

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What expression is equivalent to ${(2 a)}^{- 4}$ $(2a)^-4$ ?

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