Question

7．計(jì)算：（3$\frac{4}{3}$×5²）${\;}^{\frac{3}{2}}$=$\frac{125}{9}$．

Answer 1

分析 先計(jì)算乘方，再計(jì)算分?jǐn)?shù)指數(shù)冪，即可解答．

解答 解：原式=$（\frac{13}{3}×25）^{\frac{3}{2}}$
=$（\frac{13}{3}）^{\frac{3}{2}}×（25）^{\frac{3}{2}}$
=$\frac{13}{3}\sqrt{\frac{13}{3}}$×125
=$\frac{1625\sqrt{39}}{3}$．

點(diǎn)評(píng) 本題考查了分?jǐn)?shù)指數(shù)冪，解決本題的關(guān)鍵是熟記分?jǐn)?shù)指數(shù)冪．