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# Evaluate. (iii) 1 / 2 ^ -5

Q1. Evaluate.

(iii)  $\left(\frac{1}{2}\right )^{-5}$

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The detailed solution for the above-written question is as follows

We know that,

$(\frac{a}{b})^{m}=\frac{a^{m}}{b^{m}}$         $\&$         $a^{-m} = \frac{1}{a^{m}}$

So, here

a = 1 and b = 2 and m =-5

According to the law of exponent

$(\frac{1}{2})^{-5}=\frac{1^{-5}}{2^{-5}} = \frac{-1}{2^{-5}}$

$=(-1)\times -2\times -2\times -2\times -2\times -2 = 32$

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