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# How much is 81 to the power of 3/4?

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

## Answer: 81 to the power of 3/4 is 27.

Let's see the solution step by step.

**Explanation:**

Given: 81 to the power of 3/4 or 81^{(3/4)}.

First, rewrite 81 as 3^{4}.

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

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

So we cancel the common factor of 4 to get,

3^{3 }= 3 × 3 × 3 = 27

### Thus, 81 to the power of 3/4 is 27.

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