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19-10-2018
Mathematics

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Simplify the following expression.

Simplify the following expression class=

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19-10-2018

[tex]4^{-\frac{11}{3}}\div4^{-\frac{2}{3}}=4^{-\frac{11}{3}-\left(-\frac{2}{3}\right)}=4^{-\frac{11}{3}+\frac{2}{3}}=4^{-\frac{9}{3}}=4^{-3}=\dfrac{1}{4^3}=\dfrac{1}{64}\\\\Used:\\\\a^n:a^m=a^{n-m}\\\\a^{-n}=\dfrac{1}{a^n}[/tex]

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