Question

como fazer esta questão? nao to conseguindo chegar no resultado que é 4 sobre 625

Answer 1

$\left [ \sqrt{\left ( \dfrac16 \right )^{-3}\cdot\dfrac23}+\sqrt{\left (\dfrac23 \right )^0-\dfrac{1}{\frac43}}\right ]^{-2}=\\\\\\\left [ \sqrt{ 6^3\cdot\dfrac23}+\sqrt{1-\dfrac34}\right ]^{-2}=\\\\\\\left [ \sqrt{ 216\cdot\dfrac23}+\sqrt{\dfrac44-\dfrac34}\right ]^{-2}=\\\\\\\left [ \sqrt{ 144}+\sqrt{\dfrac14}\right ]^{-2}=\\\\\\\left [ 12+\dfrac12\right ]^{-2}=\\\\\\\left [ \dfrac{25}{2}\right ]^{-2}=\left[\dfrac2{25}\right]^2=\dfrac{4}{625}$