Laws of Index 5

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Simplify $\left(\frac{a^{7}}{c^{9}}\right)^{8}$

**Answer**

$\;\;\; \left(\frac{a^{7}}{c^{9}}\right)^{8}$

$= \frac{\left(a^{7}\right)^{8}}{\left(c^{9}\right)^{8}}$

$=\frac{a^{56}}{c^{72}}$