Home » Evaluate ((2^{0} + 4^{-frac{1}{2}})^{2})

Evaluate ((2^{0} + 4^{-frac{1}{2}})^{2})

Evaluate ((2^{0} + 4^{-frac{1}{2}})^{2})

  • A.
    (frac{1}{4})
  • B.
    (frac{5}{4})
  • C.
    (frac{9}{4})
  • D.
    4
  • E.
    9
Correct Answer: Option C
Explanation

((2^{0} + 4^{-frac{1}{2}})^{2})

= ((1 + (frac{1}{4})^{frac{1}{2}})^{2})

= ((1 + frac{1}{2})^{2})

= ((frac{3}{2})^{2} = frac{9}{4})