Evaluate (left(frac{81}{16}right)^{frac{-1}{4}}times 2^{-1})
- A.^{1}/_{3}
- B.
3 - C.
6 - D.^{1}/_{6}
Correct Answer: Option A
Explanation
(left(frac{81}{16}right)^{frac{-1}{4}}times 2^{-1}=frac{1}{left(frac{81}{16}right)^{frac{1}{4}}}times frac{1}{2}\
=left(frac{16}{81}right)^{frac{1}{4}}times frac{1}{2}\
=left(frac{2}{3}right)^{4times frac{1}{4}}\
=frac{2}{3}times frac{1}{2}\
=frac{1}{3})