Mathematics

Evaluate (left(frac{81}{16}right)^{frac{-1}{4}}times 2^{-1})

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})