Question

Simplify:
${\left(\frac{2}{3}\right)}^8\times {\left(\frac{6}{4}\right)}^3$

Answer 1

${\left(\frac{2}{3}\right)}^8\times {\left(\frac{6}{4}\right)}^3$

$={\left(\frac{2}{3}\right)}^8\times {\left(\frac{3}{2}\right)}^3$

$={\left(\frac{2}{3}\right)}^8\times {\left(\frac{2}{3}\right)}^{-3}$

$={\left(\frac{2}{3}\right)}^{(8-3)}$

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

$=\frac{32}{243}$