2 Answers

Runcorn · Answer 1 · 2021-05-09T13:09:12+0000

Answer: 8

Explanation:

Recall from the law of indices ;

Given
$a^{(m)/(n)}$ , it could be written as
$\sqrt[n]{a^(m)}$

Therefore :

$16^{(3)/(4)}$ can be written as :

$\sqrt[4]{16}) ^(3)$

The fourth root of 16 = 2 that is 2x2x2x2 = 16

so the expression
$\sqrt[4]{16}) ^(3)$ becomes

2^(3)

which will be 8

Therefore :

$16^{(3)/(4)}$ = 8

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