Question

Evalute:
${\left(\frac{2}{3}\right)}^3\times {\left(\frac{3}{4}\right)}^2$

Answer 1

Step:Finding the value of given exression

Given,${\left(\frac{2}{3}\right)}^3\times {\left(\frac{3}{4}\right)}^2$
It can be wriitten as
${\left(\frac{2}{3}\right)}^3\times {\left(\frac{3}{4}\right)}^2=\left(\frac{2}{3}\right)\times \left(\frac{2}{3}\right)\times \left(\frac{2}{3}\right)\times \left(\frac{3}{4}\right)\times \left(\frac{3}{4}\right)$

On further calculation ,we have:

${\left(\frac{2}{3}\right)}^3\times {\left(\frac{3}{4}\right)}^2=\frac{8}{27}\times \frac{9}{16}$
$=\frac{1}{6}$
Hence,${\left(\frac{2}{3}\right)}^3\times {\left(\frac{3}{4}\right)}^2=\frac{1}{6}$