The power of a power is related with the multiplication of the exponents. For example:
[tex](2^4)^5=2^{4x5}=2^{20}[/tex]In this case
[tex](7^{\frac{1}{2}})^2=7^{\frac{1}{2}\cdot2}[/tex]Then, the exponentes 1/2 and 2 are multiplied.
Since
[tex]\frac{1}{2}\cdot2=1[/tex]Then,
[tex]\begin{gathered} (7^{\frac{1}{2}})^2=7^{\frac{1}{2}\cdot2} \\ =7^1=7 \end{gathered}[/tex]Then, the answer is 7.
Answer- A. 7
