Laws of Index 5

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Simplify $\left(\frac{y^{12}}{z^{9}}\right)^{-7}$

**Answer**

$\;\;\; \left(\frac{y^{12}}{z^{9}}\right)^{-7}$

$= \frac{\left(y^{12}\right)^{-7}}{\left(z^{9}\right)^{-7}}$

$=\frac{y^{-84}}{z^{-63}}$

$=\frac{z^{63}}{y^{84}}$