Question

Simplify: frac{2}{3}) ^{4} }" alt="(8^{\frac{2}{3}) ^{4} }" align="absmiddle" class="latex-formula">

Answer 1

${ \large{ \sf{ \implies{(8 {}^{ \frac{2}{3} }) {}^{4} }}}}$

${ \large{ \sf{ \implies( \sqrt[3]{8} {}^{2} ) {}^{4} }}}$

${ \large{ \sf{ \implies{{(2 {}^{2} ) {}^{4} }}}}}$

${ \large{ \implies{ \sf{4 {}^{4} }}}}$

${ \large{ \therefore{ \sf{256} \: \: ans.}}}$