Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[121\times \frac{1}{{a}^{10}}\times \frac{{b}^{-15}}{11}a-3{b}^{-8}\]
Simplify \(121\times \frac{1}{{a}^{10}}\times \frac{{b}^{-15}}{11}a\) to \(\frac{121{b}^{-15}a}{11{a}^{10}}\).
\[\frac{121{b}^{-15}a}{11{a}^{10}}-3{b}^{-8}\]
Take out the constants.
\[\frac{121}{11}\times \frac{{b}^{-15}a}{{a}^{10}}-3{b}^{-8}\]
Simplify \(\frac{121}{11}\) to \(11\).
\[11\times \frac{{b}^{-15}a}{{a}^{10}}-3{b}^{-8}\]
Use Quotient Rule: \(\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}\).
\[11{b}^{-15}{a}^{1-10}-3{b}^{-8}\]
Simplify \(1-10\) to \(-9\).
\[11{b}^{-15}{a}^{-9}-3{b}^{-8}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[11{b}^{-15}\times \frac{1}{{a}^{9}}-3{b}^{-8}\]
Simplify \(11{b}^{-15}\times \frac{1}{{a}^{9}}\) to \(\frac{11{b}^{-15}}{{a}^{9}}\).
\[\frac{11{b}^{-15}}{{a}^{9}}-3{b}^{-8}\]
(11*b^-15)/a^9-3*b^-8
