Simplify f\(\frac{1}{2}\)g2h\(\frac{1}{2}\) \(\div\) f\(\frac{5}{2}\)goh\(\frac{7}{3}\)

A.

(\(\frac{g}{fh}\))2

B.

f2g2h2

C.

\(\frac{5}{4}\)goh\(\frac{7}{9}\)

D.

\(\frac{g^2}{f^5h^7}\)

E.

\(\frac{1}{f^2h^2}\)

Correct answer is A

f\(\frac{1}{2}\)g2h\(\frac{1}{2}\) \(\div\) f\(\frac{5}{2}\)goh\(\frac{7}{3}\) = f\(\frac{1}{2}\) - \(\frac{5}{2}\) g2 - 0 h\(\frac{1}{2}\) - \(\frac{7}{3}\)

f-2 g2 h-2

= \(\frac{g^2}{f^2h^2}\)

= (\(\frac{g}{fh}\))2