Evaluate \((2^{0} + 4^{-\frac{1}{2}})^{2}\)
A
\(\frac{1}{4}\)
B
\(\frac{5}{4}\)
C
\(\frac{9}{4}\)
D
4
E
9
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\((2^{0} + 4^{-\frac{1}{2}})^{2}\)
= \((1 + (\frac{1}{4})^{\frac{1}{2}})^{2}\)
= \((1 + \frac{1}{2})^{2}\)
= \((\frac{3}{2})^{2} = \frac{9}{4}\)
Source: Myschool Past Questions Archive (Record #32607)