Question

Simplifique as expressões.

Answer 1

$\left[\frac{\left(3^4\right)^3}{3^9} \right]^{-2}\\\\\left[\frac{3^{4*3}}{3^9} \right]^{-2}\\\\\left[\frac{3^{12}}{3^9} \right]^{-2}\\\\\left[\frac{3^9}{3^{12}} \right]^{2}\\\\\left[3^{9-12}\right]^{2}\\\\\left[3^{-3}\right]^{2}\\\\\left[\frac{1}{3^3} \right]^{2}\\\\\left[\frac{1}{27}\right ]^{2}\\\\\frac{1}{27^2} \\\\\frac{1}{729}$

$\left( 343\right)^{-\frac{2}{3}}\\\\\left( \frac{1}{343}\right)^{\frac{2}{3}}\\\\\left( \frac{1}{\sqrt[3]{343}}\right)^{\frac{2}{1}}\\\\\left(\frac{1}{7}\right)^2\\\\\frac{1}{7^2}\\\\\frac{1}{49}$