Home >> Interactive Library - Algebra >> Indices, powers #4
Interactive Algebra
Worked Solution #4 of 5, increasing in difficulty.
Expand the following:
\begin{align} \quad\quad\quad\quad\quad\quad\quad\quad\Large {( \ 3 \ x^{-2} \ y^{5} \ z^{3} \ )^{-3} } \\ \\ &\cssId{Step1}{\Large = {( \ 3 \ )^{-3} \ ( \ x^{-2} \ y^{5} \ z^{3} \ )^{-3} }}\\ \\ &\cssId{Step2}{\Large = { \frac{( \ x^{-2} \ y^{5} \ z^{3} \ )^{-3} }{ ( \ 3 \ )^{3} } }}\\ \\ &\cssId{Step3}{\Large = { \frac{ x^{6} \ y^{-15} \ z^{-9} }{ 27 } }}\\ \\ \end{align}
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