# What is 4 to the power of 1/2?

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

## Answer: 4 to the power of 1/2 is 2.

Let's see the solution step by step.

**Explanation:**

Given: 4 to the power of 1/2 or 4^{(1/2)}

First, rewrite 4 as 2^{2}

4^{(1/2)} = 2^{2}^{(1/2)}

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

Thus, we cancel the common factor of 2

2^{1 }= 2

### Thus, 4 to the power of 1/2 is 2.

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