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Exercise

$\left(m\frac{1}{3}\right)^{\frac{1}{5}}$

Step-by-step Solution

1

The power of a product is equal to the product of it's factors raised to the same power

$\sqrt[5]{\frac{1}{3}}\sqrt[5]{m}$
2

Calculate the power $\sqrt[5]{\frac{1}{3}}$

$\frac{1}{\sqrt[5]{3}}\sqrt[5]{m}$
3

Multiplying the fraction by $\sqrt[5]{m}$

$\frac{1\sqrt[5]{m}}{\sqrt[5]{3}}$
4

Any expression multiplied by $1$ is equal to itself

$\frac{\sqrt[5]{m}}{\sqrt[5]{3}}$

Final answer to the exercise

$\frac{\sqrt[5]{m}}{\sqrt[5]{3}}$

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Main Topic: Power of a product

The power of a product of factors is equal to the product of each factor to the same power: $\left(b\cdot c\right)^n=b^n\cdot c^n$.

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