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^{(1)/(2)})^2=7^{(1)/(2)\cdot2}`

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

Since

`(1)/(2)\cdot2=1`

Then,

`\begin{gathered} (7^{(1)/(2)})^2=7^{(1)/(2)\cdot2} \\ =7^1=7 \end{gathered}`

Then, the answer is 7.

Answer- A. 7