Mathematics

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

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

  • A.
    1/8
  • B.
    1/4
  • C.
    2
  • D.
    4
  • E.
    8
Correct Answer: Option E
Explanation

((frac{1}{4})^{-1frac{1}{2}})

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

= ((sqrt{frac{1}{4}})^{-3})

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

= (2^3)

= 8