Question

Evalute:
${\left(\frac{3}{4}\right)}^4$

Answer 1

Step:Finding the value of given expression

Given,${\left(\frac{3}{4}\right)}^4$

it can be written as:
${\left(\frac{3}{4}\right)}^4=\left(\frac{3}{4}\right)\times \left(\frac{3}{4}\right)\times \left(\frac{3}{4}\right)\times \left(\frac{3}{4}\right)$

on further calculation ,we have:

${\left(\frac{3}{4}\right)}^4=\frac{3\times 3\times \times 3\times 3}{4\times 4\times 4\times 4}$

$=\frac{81}{256}$

Hence ,${\left(\frac{3}{4}\right)}^4=\frac{81}{256}$