Question

Convert the expression from radical form to exponential expression in rational form, multiply and simplify then divide no need to evaluate just simplify

Answer 1

Given:

`\sqrt[]{5^7}\text{ }\cdot\sqrt[]{5^6}/\sqrt[5]{5^3}`

Recall from the law of indices that;

`\begin{gathered} a^{(b)/(c)}=\sqrt[c]{a^b}=(\sqrt[c]{a})^b \\ a^{(b)/(2)}=\sqrt[]{a^b}^{} \end{gathered}`