Question

simplify the following
(64)3/4

Answer 1

$\large\sf{{(64)}^{{\frac{3}{4}}}}$



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



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



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



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



$\large\sf{\implies {(8)}^{{\frac{1}{2}} × 3}}$



$\large\sf{\implies {\sqrt{(8)^3}}}$



$\large\sf{\implies {\sqrt{8 × 8 × 8}}}$



$\large\sf{\implies 8{\sqrt{8}}}$



$\large\sf{\implies 8{\sqrt{2 × 2 × 2}}}$



$\large\sf{\implies 8 × 2{\sqrt{2}}}$



$\large\sf\red{\implies 16{\sqrt{2}}}$