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.
Given: 81 to the power of 1/4 or 81(1/4).
First, rewrite 81 as 34.
81(1/4) = 34(1/4)
Now, we will have to apply the rules of exponents and multiply exponents, (am)n = amn.
So we cancel the common factor of 4 to get
31 = 3.