Question

Hi I don’t understand this question or knows if I got it correct

Answer 1

The given expression is

125^1/3(125)

We would apply the following rules of exponents

`\begin{gathered} a^b* a^c=a^(b+c) \\ By\text{ using this rule, we have} \\ 125^{(1)/(3)+3}=125^{(10)/(3)} \\ \text{The next rule is} \\ a^{(b)/(n)}\text{ = (}\sqrt[n]{a})^b \\ By\text{ using this rule, we have} \\ (\sqrt[3]{125})^(10)\text{ } \\ =5^(10) \end{gathered}`