# How much is 64 to the power of 1/3?

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

## Answer: 64 to the power of 1/3 is 4.

Let's see the solution step by step.

**Explanation:**

Given: 64 to the power of 1/3 or 64^{(1/3)}.

First, rewrite 64 as 4^{3}.

64^{(1/3) }= 4^{3(1/3)}

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

So we cancel the common factor of 3 to get

4^{1 }= 4.