Question

What is the value of the expression below? (7123? O A7 O B. 2 O c. O D. 14

Answer 1

The power of a power

The power of a power is related with the multiplication of the exponents. For example:

$(2^4)^5=2^{4x5}=2^{20}$

In this case

$(7^{\frac{1}{2}})^2=7^{\frac{1}{2}\cdot2}$

Then, the exponentes 1/2 and 2 are multiplied.

Since

$\frac{1}{2}\cdot2=1$

Then,

$\begin{gathered} (7^{\frac{1}{2}})^2=7^{\frac{1}{2}\cdot2} \\ =7^1=7 \end{gathered}$

Then, the answer is 7.

Answer- A. 7