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

Solution:

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.

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 aⁿ can be represented as:

aⁿ = 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

Hence, x to the power of 1/2 can be written as √x.

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

Summary:

x to the power of 1/2 is √x.