If b

^{3}= a^{-2}and c^{(frac{1}{3})}= a^{(frac{1}{2})}b, express c in terms of a-
**A.**

a^{-(frac{1}{2})} -
**B.**

a^{(frac{1}{3})} -
**C.**

a^{(frac{3}{2})} -
**D.**

a^{(frac{2}{3})}

##### Correct Answer: Option A

##### Explanation

c^{(frac{1}{3})} = a^{(frac{1}{2})}b

= a^{(frac{1}{2})}b x a^{-2}

= a^{-(frac{3}{2})}

= (c^{(frac{1}{3})})^{3}

= (a^{-(frac{3}{2})})^{(frac{1}{3})}

c = a^{-(frac{1}{2})}