Evaluate \(\frac{8^{\frac{1}{3}} \times 5^{\frac{2}{3}}}{10^{\frac{2}{3}}}\) 

A.

\(\frac{2}{5}\)

B.

\(\frac{5}{3}\)

C.

3\(\sqrt{5}\)

D.

3\(\sqrt{2}\)

Correct answer is D

\(\frac{8^{\frac{1}{3}} \times 5^{\frac{3}{2}}}{\frac{2}{10^3}}\) = \(\frac{(2^3)^{\frac{1}{3}} \times 5^{\frac{3}{2}}}{(2 \times 5)^{\frac{2}{3}}}\)

= \(\frac{2 \times 5}{2^{\frac{2}{3}} \times 5^{\frac{3}{2}}}\)

= 21 - \(\frac{2}{3}\)

= 2\(\frac{1}{3}\)

= 3\(\sqrt{2}\)