Question

CALCULE O VALOR DE

$( \frac { 1 } { 243 } ) ^ { - \frac { 2 } { 3 } }$
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Answer 1

$(\cfrac{1}{243} )^{-\frac{2}{3} }\\\\= 243^{\frac{2}{3}}\\\\= \sqrt[3]{243^2} \\= \sqrt[3]{(3^5)^2}\\= \sqrt[3]{3^{10}}\\= \sqrt[3]{(3^3)^3 \cdot 3}\\= 3^3\sqrt[3]{3} \\= 27\sqrt[3]{3}$