Question

What is 2 to the power of 3 over 2 equal to? (5 points) squre root of 8 cube root of 8 cube root of 16 square root of 16

Answer 1

Answer:

Square root of 8.

Step-by-step explanation:

Given:

Number given : 2 to the power of 3 over 2 equal ...

Using the laws of exponent:

We know that:

⇒ $\sqrt{a} = (a)^1^/^2$  and

⇒ $\sqrt[3]{a}=(a)^1^/^3$

So,

According to the question:

2 to the power of 3 over 2  = $(2) ^3^/^2$

Using fractional exponent concept where :  $\sqrt[y]{a^x} = (a)^x^/^y$

This can be re-written as:

⇒ $(2^3)^1^/^2$ and $\sqrt{2^3}$ that is equivalent to $\sqrt{8}$    as  ...$2^3=2\times 2\times 2=8$

Square root of 8 is our final answer.