Applications of the Laws of Indices

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Simplify $\frac{ (a^{-14} b^{-14} c^{18})^{-11} }{ (a^{-5} b^{-9} c^{-6})^{-10} } $

**Answer**

$\;\;\; \frac{ (a^{-14} b^{-14} c^{18})^{-11} }{ (a^{-5} b^{-9} c^{-6})^{-10} } $

$=\frac{a^{154} b^{154} c^{-198}}{a^{50} b^{90} c^{60}} $

$=\frac{a^{154}b^{154}}{a^{50}b^{90}c^{198}c^{60}}$

$=\frac{a^{104}b^{64}}{c^{258}}$