What is 9 to the power of 1/2?

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

Answer: 9 to the power of 1/2 is 3.

Let's see the solution step by step.

Explanation:

Given: 9 to the power of 1/2 or 9^(1/2)

First, rewrite 9 as 3²

9^{(1/2) =} 3^2(1/2)

Now, we apply the rules of exponents, (a^m)ⁿ = a^mn.

So we cancel the common factor of 2

3¹ = 3

Thus, 9 to the power of 1/2 is 3.