Question

l(216l^-2/3÷l(27l^-4/3
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Answer 1

ANSWER

$\begin{gathered}(\dfrac{1}{216})^{\frac{-2}{3}}\div \dfrac{1}{27}^{\frac{-4}{3}}\\\\216^{\frac{2}{3}}\times 27^{\frac{-4}{3}}\\\\=(6)^{3\times \frac{2}{3}}\times 3^{3\times \frac{-4}{3}}\\\\=6^2\times 3^{-4}\\\\=\dfrac{36}{81}\\\\=\dfrac{12}{27}\end{gathered}$

Answer 2

$\begin{gathered}\begin{gathered}(\dfrac{1}{216})^{\frac{-2}{3}}\div \dfrac{1}{27}^{\frac{-4}{3}}\\\\216^{\frac{2}{3}}\times 27^{\frac{-4}{3}}\\\\=(6)^{3\times \frac{2}{3}}\times 3^{3\times \frac{-4}{3}}\\\\=6^2\times 3^{-4}\\\\=\dfrac{36}{81}\\\\=\dfrac{12}{27}\end{gathered}\end{gathered}$