What is (\sqrt[5]{t^2})/(\sqrt[6]{t^2)} ?

The solution to (\sqrt[5]{t^2})/(\sqrt[6]{t^2)} is \sqrt[30]{t^2}

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simplify (\sqrt[5]{t^2})/(\sqrt[6]{t^2)}

simplify

Solution steps

Apply radical rule:

= \frac{( t ^{2} ) ^{\frac{1}{5}}}{( t ^{2} ) ^{\frac{1}{6}}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= (t^{2})^{\frac{1}{5} - \frac{1}{6}}

Join

\frac{1}{5} - \frac{1}{6} : \frac{1}{30}

2 π 2^{2}

What is (\sqrt[5]{t^2})/(\sqrt[6]{t^2)} ?
The solution to (\sqrt[5]{t^2})/(\sqrt[6]{t^2)} is \sqrt[30]{t^2}