Question

How do I simplify 1/-5z^-5?

Answer 1

`\bf \cfrac{1}{-5z^(-5)}\\\\ -------------------------\\\\ a^{-{ n}} \implies \cfrac{1}{a^( n)}\qquad \qquad \cfrac{1}{a^( n)}\implies a^{-{ n}} \\ \quad \\ % negative exponential denominator a^{{ n}} \implies \cfrac{1}{a^(- n)} \qquad \qquad \cfrac{1}{a^(- n)}\implies \cfrac{1}{(1)/(a^( n))}\implies a^{{ n}} \\\\ -------------------------\\\\ thus`


`\bf -\cfrac{1}{5}\cdot \cfrac{1}{z^(-5)}\implies -\cfrac{1}{5}\cdot \cfrac{1}{(1)/(z^5)}\implies -\cfrac{1}{5}\cdot \cfrac{(1)/(1)}{(1)/(z^5)}\implies - \cfrac{1}{5}\cdot \cfrac{1}{1}\cdot \cfrac{z^5}{1} \\\\\\ -\cfrac{z^5}{5}`