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 3³.

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

3² = 3 × 3 = 9.

Thus, 27 to the power of 2/3 is 9.