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 3⁴.

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

3¹ = 3.

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