Question

simplify the expression below:
$x^{\frac{1}{2}} \times x^{\frac{1}{2}}$

Explanation:

Step1: Apply exponent addition rule

When multiplying terms with the same base, add exponents: $x^a \times x^b = x^{a+b}$
So, $x^{\frac{1}{2}} \times x^{\frac{1}{2}} = x^{\frac{1}{2}+\frac{1}{2}}$

Step2: Simplify the exponent

Calculate the sum of the exponents: $\frac{1}{2}+\frac{1}{2}=1$
Thus, $x^{\frac{1}{2}+\frac{1}{2}} = x^1$

Step3: Simplify the final term

Any term to the power of 1 is itself: $x^1 = x$

Answer:

$x$