Laws of Index 5

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Simplify $\left(\frac{m^{12}}{n^{4}}\right)^{-17}$

**Answer**

$\;\;\; \left(\frac{m^{12}}{n^{4}}\right)^{-17}$

$= \frac{\left(m^{12}\right)^{-17}}{\left(n^{4}\right)^{-17}}$

$=\frac{m^{-204}}{n^{-68}}$

$=\frac{n^{68}}{m^{204}}$