The given expression is
125^1/3(125)
We would apply the following rules of exponents
[tex]\begin{gathered} a^b\times a^c=a^{b+c} \\ By\text{ using this rule, we have} \\ 125^{\frac{1}{3}+3}=125^{\frac{10}{3}} \\ \text{The next rule is} \\ a^{\frac{b}{n}}\text{ = (}\sqrt[n]{a})^b \\ By\text{ using this rule, we have} \\ (\sqrt[3]{125})^{10}\text{ } \\ =5^{10} \end{gathered}[/tex]
