簡約 (9/2 c)(8c^5)

解

簡約

(\frac{9}{2} c) (8 c^{5})

36 c^{6}

解答ステップ

(\frac{9}{2} c) (8 c^{5})

指数の規則を適用する:

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

c c^{5} = c^{1 + 5}

= \frac{9}{2} \cdot 8 c^{1 + 5}

数を足す:

1 + 5 = 6

= \frac{9}{2} \cdot 8 c^{6}

分数を乗じる:

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

= \frac{9 \cdot 8 c ^{6}}{2}

数を乗じる:

9 \cdot 8 = 72

= \frac{72 c ^{6}}{2}

数を割る:

\frac{72}{2} = 36

= 36 c^{6}