Home >> Interactive Library - Algebra >> Indices, multiplication #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 {( \ x^{-4} \ y^{6} \ z^{-3} \ ) \ ( \ x^{-2} \ y^{3} \ z^{6} \ )}\\ \\ &\cssId{Step1}{\Large = { \ x^{-4} \ y^{6} \ z^{-3} \ x^{-2} \ y^{3} \ z^{6} \ }}\\ \\ &\cssId{Step2}{\Large = { \ x^{-4} \ x^{-2} \ y^{6} \ y^{3} \ z^{-3} \ z^{6} \ }}\\ \\ &\cssId{Step3}{\Large = { x^{-4-2} \ y^{6+3} \ z^{-3+6} }}\\ \\ &\cssId{Step4}{\Large = { x^{-6} \ y^{9} \ z^{-3} }}\\ \\ \end{align}
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