簡約 a 2/5 b^3*a 2/5 b^3

解

簡約

a \frac{2}{5} b^{3} \cdot a \frac{2}{5} b^{3}

\frac{4 a ^{2} b ^{6}}{25}

解答ステップ

a \frac{2}{5} b^{3} a \frac{2}{5} b^{3}

指数の規則を適用する:

aa = a^{2}

aa = a^{2}

= a^{2} \frac{2}{5} b^{3} \frac{2}{5} b^{3}

指数の規則を適用する:

aa = a^{2}

\frac{2}{5} \cdot \frac{2}{5} = (\frac{2}{5})^{2}

= a^{2} (\frac{2}{5})^{2} b^{3} b^{3}

簡素化

b^{3} b^{3} : b^{6}

= a^{2} (\frac{2}{5})^{2} b^{6}

(\frac{2}{5})^{2} = \frac{2 ^{2}}{5 ^{2}}

= \frac{2 ^{2}}{5 ^{2}} a^{2} b^{6}

分数を乗じる:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 ^{2} a ^{2} b ^{6}}{5 ^{2}}

改良

= \frac{4 a ^{2} b ^{6}}{25}