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

Convert the expression from radical form to exponential expression in rational form-example-1
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User Symara
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Solution

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}
undefined

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User Mike Siomkin
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