Applications of the Laws of Indices

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Simplify $\frac{ (x^{-17} y^{17} z^{-5})^{-2} }{ (x^{14} y^{-1} z^{-13})^{-7} } $

**Answer**

$\;\;\; \frac{ (x^{-17} y^{17} z^{-5})^{-2} }{ (x^{14} y^{-1} z^{-13})^{-7} } $

$=\frac{x^{34} y^{-34} z^{10}}{x^{-98} y^{7} z^{91}} $

$=\frac{x^{34}x^{98}z^{10}}{y^{34}y^{7}z^{91}}$

$=\frac{x^{132}}{y^{41}z^{81}}$