展開する (1/(01))((0.2)/4)^{2/3}*(2/100)^{0.5}

解

展開する

(\frac{1}{0 \cdot 1}) \cdot (\frac{0.2}{4})^{\frac{2}{3}} \cdot (\frac{2}{100})^{0.5}

\frac{1}{0 \cdot 1} \cdot \frac{2 ^{0.5}}{10} (\frac{0.2}{4})^{\frac{2}{3}}

解答ステップ

(\frac{1}{0 \cdot 1}) (\frac{0.2}{4})^{\frac{2}{3}} (\frac{2}{100})^{0.5}

指数の規則を適用する:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

\frac{2}{100} = \frac{2 ^{0.5}}{10 0 ^{0.5}}

= \frac{1}{0 \cdot 1} \cdot \frac{2 ^{0.5}}{10 0 ^{0.5}} (\frac{0.2}{4})^{\frac{2}{3}}

10 0^{0.5} = 10

= \frac{1}{0 \cdot 1} (\frac{0.2}{4})^{\frac{2}{3}} \frac{2 ^{0.5}}{10}