80.5k views
0 votes
What is the value of the expression below? (7123? O A7 O B. 2 O c. O D. 14

1 Answer

4 votes
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

User Zeroid
by
4.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.