Simplify the expression and express the answer using rational exponents. Assume that all letters denote positive numbers. sqrt{x^{5}}

“For any rational exponent m/n in lowest terms, where m and n are integers and $n>0,$ we define.
$a^{m/n}=(\sqrt[n]{a}{)}^m=\sqrt[n]{a^m}$
If n is even, then we require that $a\ge 0.”$
Calculation:
$\sqrt{x^5}$
Consider the given expression,
$\sqrt{x^5}=(x^5{)}^{\frac{1}{2}}$
Apply Law of exponents $a^{m/n}=(\sqrt[n]{a}{)}^m=\sqrt[n]{a^m}$ we get,
$(x^5{)}^{1/2}=x^{\frac{5}{2}}$
Therefore the expression $\sqrt{x^5}simplifiesto{x}^{\frac{5}{2}}$
Final Statement:
The expression $\sqrt{x^5}simplifiesto{x}^{\frac{5}{2}}$