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

In algebra, the method or technique in which powers and roots are expressed together is known as a fractional exponent.

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

Let us see the solution step by step.

**Explanation:**

Given: 64 to the power of 1/3 can also be written as 64^{(1/3)}.

Let us rewrite 64 as 4^{3}.

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

Applying the exponent rules (a^{m})^{n }= a^{mn}

we cancel the common factor of 3 to get 4^{1 }= 4.

### Thus, 64 to the power of 1/3 is 4.

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