Surds and Indices Practice Test 1

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Question : 9 of 40

Marks: +1, -0

The value of

(8)^{-(2^{-2})}

is:

$2^{-1/4}$
$2^{-3/4 }$
$2^{3/4}$
$2 ^{-1/ 2}$

Solution:

(8)^{-(2^{-2})}

=(8)^{-(1/2 ^{ 2})}

= (2^3)^{ -1/4}

=(2)^{-3/4}

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