Question

3/5 x 27 elevado 1/3 + 9/5 x 27 elevado -2/3

Answer 1

$\frac{3}{5} \cdot27^ \frac{1}{3} + \frac{9}{5} \cdot27^{- \frac{2}{3} }\\ \\= \frac{3}{5} \cdot \sqrt[3]{27} + \frac{9}{5} \cdot (\frac{1}{27}) ^{ \frac{2}{3} }\\ \\= \frac{3}{5} \cdot 3 + \frac{9}{5} \cdot\sqrt[3]{( \frac{1}{27})^2}\\ \\= \frac{3}{5} \cdot 3 + \frac{9}{5} \cdot\sqrt[3]{\frac{1}{729}}\\ \\= \frac{9}{5} + \frac{9}{5} \cdot \frac{1}{9}\\ \\= \frac{9}{5} + \frac{9}{45}\\ \\= \frac{9}{5} + \frac{1}{5}\\ \\= \frac{9+1}{5}\\ \\= \frac{10}{5}\\ \\=2$