# What is 27 to the power of 2/3?

Fractional exponents in algebra use the same rules that are used for the other exponents.

## Answer: 27 to the power of 2/3 is 9.

Let's solve this step by step.

**Explanation:**

Given: 27 to the power of 2/3 or 27^{(2/3)}.

First, rewrite 27 as 3^{3}.

27^{(2/3)}= 3^{3(2/3)}

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

So we cancel the common factor of 3 to get

3^{2 }= 3 × 3 = 9.

### Thus, 27 to the power of 2/3 is 9.

Math worksheets and

visual curriculum

visual curriculum