Simplify f

^{(frac{1}{2})}g^{2}h^{(frac{1}{2})}(div) f^{(frac{5}{2})}g^{o}h^{(frac{7}{3})}-
**A.**

((frac{g}{fh}))^{2} -
**B.**

f^{2}g^{2}h^{2} -
**C.**

(frac{5}{4})g^{o}h(frac{7}{9}) -
**D.**

(frac{g^2}{f^5h^7}) -
**E.**

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

##### Correct Answer: Option A

##### Explanation

f^{(frac{1}{2})}g^{2}h^{(frac{1}{2})} (div) f^{(frac{5}{2})}g^{o}h^{(frac{7}{3})} = f^{(frac{1}{2})} – (frac{5}{2}) g^{2 – 0} h(frac{1}{2}) – (frac{7}{3})

f^{-2} g^{2} h^{-2}

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

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