Evaluate \(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\)

A.

\(\frac{23}{5}\)

B.

-\(\frac{23}{5}\)

C.

-\(\frac{1}{8}\)

D.

\(\frac{21}{7}\)

Correct answer is C

\(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\)

\(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\) = \(\frac{3\sqrt{27} - 3\sqrt{8}^2}{\sqrt{16} \times 2}\)

\(\frac{3 - 4}{4 \times 2}\)
= \(\frac{-1}{8}\)