# What is the value of x to the power of 1/2?

Basically, we will solve this question by the multiplication rule of exponents and power. The exponent of any number represents how many times to use the number in a multiplication.

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

Let's solve this question by using rules of exponents and power step by step.

**Explanation:**

We have given that, x to the power of 1/2

Basically, the rules for exponentiation states that, if n is a positive integer and x is any real number, then a^{n} can be represented as:

a^{n} = a × a × … × a (n times)

Hence x to the power of 1/2 can be written as x^{(1/2)} which is a fractional exponent.

Where the number x is called the base, whereas (1/2) is the power or exponent of the expression. Any exponent of (1/2) is actually the square root of that number.

Therefore, x^{(1/2) }= √x