Mathematics

Simplify: (frac{4^{-frac{1}{2}} times 16^{frac{3}{4}}}{4^{frac{1}{2}}})

Simplify: (frac{4^{-frac{1}{2}} times 16^{frac{3}{4}}}{4^{frac{1}{2}}})

  • A.1/4
  • B.
    0
  • C.
    1
  • D.
    2
  • E.
    4
Correct Answer: Option D
Explanation

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

= (frac{16^{frac{3}{4}}}{4^{frac{1}{2}} times 4^{frac{1}{2}}})

= (frac{(2^4)^{frac{3}{4}}}{4^{frac{1}{2}} times 4^{frac{1}{2}}})

= (frac{2^3}{4})

= 2