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apologiabiology

\(x^{ \frac{m}{n} }= \sqrt[n]{x^m}\)

remember pemdas
\(3x^{ \frac{5}{7}}\)
expoennts before multiply, so move 3 to side
3(\(x^{ \frac{5}{7}}\))
convert
3(\(\sqrt[7]{x^5}\))
\(3\sqrt[7]{x^5}\)

JcAlmighty

The answer is 3 seventh root of x to the fifth power.

3 x to the 5 sevenths power is \(3x^{ \frac{5}{7} }\)
Since \(x ^{ \frac{a}{b} } = \sqrt[b]{ x^{a} }\), then \(x^{ \frac{5}{7} } = \sqrt[7]{ x^{5} }\)

Therefore:
\(3x^{ \frac{5}{7} } =3 \sqrt[7]{ x^{5} }\)

\(3 \sqrt[7]{ x^{5} }\) is  3 seventh root of x to the fifth power.

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