Question

Evalute:
${\left(\frac{3}{5}\right)}^2\times {(-\frac{2}{3})}^3$

Answer 1

Step: Finding the value of given exression

${\left(\frac{3}{5}\right)}^2\times {(-\frac{2}{3})}^3$

It can be wriitten as
${\left(\frac{3}{5}\right)}^2\times {(-\frac{2}{3})}^3$


${\left(\frac{3}{5}\right)}^2\times {(-\frac{2}{3})}^3=\left(\frac{3}{5}\right)\times \left(\frac{3}{5}\right)\times (-\frac{2}{3})\times (-\frac{2}{3})\times (-\frac{2}{3})$(1 Mark)

On further calculation ,we have:

${\left(\frac{3}{5}\right)}^2\times {(-\frac{2}{3})}^3=\frac{9}{25}\times (-\frac{8}{27})$
$=-\frac{8}{75}$

Hence,${\left(\frac{3}{5}\right)}^2\times {(-\frac{2}{3})}^3=-\frac{8}{75}$(2 Mark)