# How much is 81 to the power of 1/4?

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

## Answer: 81 to the power of 1/4 is 3.

Let's see the solution step by step.

**Explanation:**

Given: 81 to the power of 1/4 or 81^{(1/4)}.

First, rewrite 81 as 3^{4}.

81^{(1/4) = }3^{4(1/4)}

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

So we cancel the common factor of 4 to get

3^{1 }= 3.

### Thus, 81 to the power of 1/4 is 3.

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