Question
$x^m \div y^m=(x \div y)^m$, where $x$ and $y$ are non-zero rational numbers and $m$ is a positive integer.

Answer

If $x$ and $y$ are rational numbers, then $\frac{\text{x}}{\text{y}^{\text{m}}}=\frac{\text{x}^{\text{m}}}{\text{y}^{\text{m}}}$ or $\text{x}^{\text{m}}\div\text{y}^{\text{m}}=(\text{x}\div\text{y})^{\text{m}}$

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