Mathematics

simplify (16^{frac{-1}{2}}times 4^{frac{-1}{2}} times 27^{frac{1}{3}})

simplify (16^{frac{-1}{2}}times 4^{frac{-1}{2}} times 27^{frac{1}{3}})
  • A.3/8
  • B.2/3
  • C.3/4
  • D.3/2
Correct Answer: Option A
Explanation

(16^{frac{-1}{2}}times 4^{frac{-1}{2}} times 27^{frac{1}{3}}\
=frac{1}{16^{frac{1}{2}}}times frac{1}{4^{frac{1}{2}}}times 27^{frac{1}{3}}\
=frac{1}{sqrt{16}} times frac{1}{sqrt{4}} times sqrt[3]{27}\
=frac{1}{4} times frac{1}{2} times frac{3}{1}\
= frac{3}{8})