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

Solution

Given:

$\sqrt[]{5^7}\text{ }\cdot\sqrt[]{5^6}\div\sqrt[5]{5^3}$

Recall from the law of indices that;

$\begin{gathered} a^{\frac{b}{c}}=\sqrt[c]{a^b}=(\sqrt[c]{a})^b \\ a^{\frac{b}{2}}=\sqrt[]{a^b}^{} \end{gathered}$$undefined$