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Simplify the expression express the filial result without using zero or negative integers as exponents (ab^3c^2)^-6

User Kmort
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1 Answer

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18 votes

Recall that, if a and b are real numbers different from zero, and m and n are integers then:


\begin{gathered} (a^{}b)^m=a^mb^m, \\ (a^n)^m=a^(nm), \\ a^(-m)=(1)/(a^m). \end{gathered}

Using the above properties of exponents we get that:


(ab^3c^2)^(-6)=(1)/((ab^3c^2)^6)=(1)/(a^6b^(18)c^(12))\text{.}

Answer:


(1)/(a^6b^(18)c^(12))\text{.}

User Jaumebonet
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