11- Calcule o valor de cada uma das seguintes potências. ((3)/(5))^2= ((4)/(7))^3= ((2)/(9))^2= ((5)/(2))^5= ((6)/(5))^2= ((1)/(10))^4=

Vamos calcular cada uma das potências fornecidas:<br /><br />1. \(\left(\frac{3}{5}\right)^2\):<br />\[<br />\left(\frac{3}{5}\right)^2 = \frac{3^2}{5^2} = \frac{9}{25}<br />\]<br /><br />2. \(\left(\frac{4}{7}\right)^3\):<br />\[<br />\left(\frac{4}{7}\right)^3 = \frac{4^3}{7^3} = \frac{64}{343}<br />\]<br /><br />3. \(\left(\frac{2}{9}\right)^2\):<br />\[<br />\left(\frac{2}{9}\right)^2 = \frac{2^2}{9^2} = \frac{4}{81}<br />\]<br /><br />4. \(\left(\frac{5}{2}\right)^5\):<br />\[<br />\left(\frac{5}{2}\right)^5 = \frac{5^5}{2^5} = \frac{3125}{32}<br />\]<br /><br />5. \(\left(\frac{6}{5}\right)^2\):<br />\[<br />\left(\frac{6}{5}\right)^2 = \frac{6^2}{5^2} = \frac{36}{25}<br />\]<br /><br />6. \(\left(\frac{1}{10}\right)^4\):<br />\[<br />\left(\frac{1}{10}\right)^4 = \frac{1^4}{10^4} = \frac{1}{10000}<br />\]<br /><br />Portanto, os valores das potências são:<br />1. \(\left(\frac{3}{5}\right)^2 = \frac{9}{25}\)<br />2. \(\left(\frac{4}{7}\right)^3 = \frac{64}{343}\)<br />3. \(\left(\frac{2}{9}\right)^2 = \frac{4}{81}\)<br />4. \(\left(\frac{5}{2}\right)^5 = \frac{3125}{32}\)<br />5. \(\left(\frac{6}{5}\right)^2 = \frac{36}{25}\)<br />6. \(\left(\frac{1}{10}\right)^4 = \frac{1}{10000}\)