Laws of Index 5

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Simplify $\left(\frac{b^{17}}{c^{-3}}\right)^{6}$

**Answer**

$\;\;\; \left(\frac{b^{17}}{c^{-3}}\right)^{6}$

$= \frac{\left(b^{17}\right)^{6}}{\left(c^{-3}\right)^{6}}$

$=\frac{b^{102}}{c^{-18}}$

$=b^{102}c^{18}$