Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[\frac{-{d}^{6}}{{d}^{4}x\times -d}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{-{d}^{6}}{-{d}^{5}x}\]
Two negatives make a positive.
\[\frac{{d}^{6}}{{d}^{5}x}\]
Use Quotient Rule: \(\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}\).
\[{d}^{6-5}{x}^{-1}\]
Simplify \(6-5\) to \(1\).
\[{d}^{1}{x}^{-1}\]
Use Rule of One: \({x}^{1}=x\).
\[d{x}^{-1}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[d\times \frac{1}{x}\]
Simplify.
\[\frac{d}{x}\]
d/x
