Question

evaluate
$\sqrt[3]{2} \times {4}^{3 \div 2} \div {(128)}^{1 \div 3}$

Answer 1

$\sqrt[3]{2} \times {4}^{ \frac{3}{2} } \div {128}^{ \frac{1}{3} }$
$\sqrt[3]{2} \times {4}^{ \frac{3}{2} } \div {128}^{ \frac{1}{3} } \\ {2}^{ \frac{1}{3} } \times ( { {2}^{2} )}^{ \frac{3}{2} } \div ( { {2}^{7} })^{ \frac{1}{3} } \\ {2}^{ \frac{1}{3} } \times ( { {2})}^{3 } \div ( { {2}})^{ \frac{7}{3} } \\ {2}^{ \frac{1}{3} + 3 } \div {2}^{ \frac{7}{3} } \\ \\ {2}^{ \frac{1 + 6}{3} } \div {2}^{ \frac{7}{3} } \\ {2}^{ \frac{7}{3} } \div {2}^{ \frac{7}{3} } \\ = 1$