簡約 6.022(10^2)^32

解

簡約

6.022 \cdot (1 0^{2})^{3} \cdot 2

12044000

解答ステップ

6.022 (1 0^{2})^{3} \cdot 2

数を乗じる:

6.022 \cdot 2 = 12.044

= 12.044 (1 0^{2})^{3}

指数の規則を適用する:

(a^{b})^{c} = a^{b c}, a \geq 0

(1 0^{2})^{3} = 1 0^{2 \cdot 3}

= 12.044 \cdot 1 0^{2 \cdot 3}

数を乗じる:

2 \cdot 3 = 6

= 12.044 \cdot 1 0^{6}

1 0^{6} = 1000000

= 12.044 \cdot 1000000

数を乗じる:

12.044 \cdot 1000000 = 12044000

= 12044000