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kobusy [5.1K]
3 years ago
10

Simplify $\frac{-10a^2b^4}{5a^{-9}b^{-5}}$

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
5 0
\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}
\\\\
-------------------------------\\\\
\cfrac{-10a^2b^4}{5a^{-9}b^{-5}}\implies \cfrac{-10}{5}\cdot \cfrac{a^2b^4}{a^{-9}b^{-5}}\implies \cfrac{-2}{1}\cdot \cfrac{a^2a^9b^4b^5}{1}
\\\\\\
-2a^{2+9}b^{4+5}\implies -2a^{11}b^9
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