What is (\sqrt[3]{5^2})/(\sqrt[5]{5)} ?

The solution to (\sqrt[3]{5^2})/(\sqrt[5]{5)} is \sqrt[15]{78125}

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simplify (\sqrt[3]{5^2})/(\sqrt[5]{5)}

simplify

\frac{3 5 ^{2}}{5 5}

1578125

Decimal

2.11926 \dots

Solution steps

\frac{3 5 ^{2}}{5 5}

3 5^{2} = 5^{\frac{2}{3}}

= \frac{5 ^{\frac{2}{3}}}{5 5}

Apply radical rule:

n a = a^{\frac{1}{n}}

55 = 5^{\frac{1}{5}}

= \frac{5 ^{\frac{2}{3}}}{5 ^{\frac{1}{5}}}

Simplify

\frac{5 ^{\frac{2}{3}}}{5 ^{\frac{1}{5}}} : 15 5^{7}

= 15 5^{7}

5^{7} = 78125

= 1578125

2 - 98

π \times 6^{2}

2 - 12

+ 81 p^{8} - 100

75 \cdot \frac{1}{25}

What is (\sqrt[3]{5^2})/(\sqrt[5]{5)} ?
The solution to (\sqrt[3]{5^2})/(\sqrt[5]{5)} is \sqrt[15]{78125}