# How much is 8 to the power of 2/3?

In algebra, a fractional exponent is a method for expressing powers and roots together.

## Answer: 8 to the power of 2/3 is 4.

Let's see the solution step by step.

**Explanation:**

We have 8 to the power of 2/3 or 8^{(2/3)}.

First, rewrite 8 as 2^{3}.

8^{(2/3) = }2^{3}^{(2/3)}

We will apply the rules of exponents and multiply exponents, (a^{m})^{n }= a^{mn}.

8^{(2/3) = }2^{3}^{(2/3) }= 2^{3 × (2/3)}

Now, we have to cancel the common factor of 3

2^{2 }= 4