What is the value of x to the power of 1/2?
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.
We have given that, x to the power of 1/2
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