簡約 (2/3)^2left(2/3)^2

解

簡約

(\frac{2}{3})^{2} l e f t (\frac{2}{3})^{2}

\frac{16 e l f t}{81}

解答ステップ

(\frac{2}{3})^{2} l e f t (\frac{2}{3})^{2}

指数の規則を適用する:

a^{b} \cdot a^{c} = a^{b + c}

(\frac{2}{3})^{2} (\frac{2}{3})^{2} = (\frac{2}{3})^{2 + 2}

= l e f t (\frac{2}{3})^{2 + 2}

数を足す:

2 + 2 = 4

= l e f t (\frac{2}{3})^{4}

(\frac{2}{3})^{4} = \frac{2 ^{4}}{3 ^{4}}

= e \frac{2 ^{4}}{3 ^{4}} l f t

分数を乗じる:

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

= \frac{2 ^{4} l e f t}{3 ^{4}}

改良

= \frac{16 e l f t}{81}