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37 votes
37 votes
Simplify: 2a^6 b^6)(3a^-5 b^-7)

User Tericky Shih
by
2.5k points

1 Answer

16 votes
16 votes

Use power properties to simplify the expression:


\begin{gathered} a^(-5)=(1)/(a^5) \\ b^(-7)=(1)/(b^7) \end{gathered}
\begin{gathered} (2a^6b^6)(3a^(-5)b^(-7)) \\ (2a^{6^{}}b^6)((3)/(a^5b^7)) \\ 6\cdot(a^6)/(a^5)\cdot(b^6)/(b^7) \\ (6a)/(b) \end{gathered}

User Sealabr
by
2.7k points
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