Question

Вычислите. 1) (2 1/2) в 5 степени. 2) (-3/5) в 5 степени

Answer 1

$\displaystyle \tt 1). \ \ \bigg(2\frac{1}{2}\bigg)^{5}=\bigg(\frac{5}{2}\bigg)^{5}=\frac{5^{5}}{2^{5}}=\frac{3125}{32}=97,65625;\\\\\\2). \ \ \bigg(-\frac{3}{5}\bigg)^{5}=-\frac{3^{5}}{5^{5}}=-\frac{243}{3125}=-0,07776;$