簡約 (1.7^{13})/(13!)*2.718^{-1.7}

解

簡約

\frac{1. 7 ^{13}}{13 !} \cdot 2.71 8^{- 1.7}

\frac{6.19036 E 14}{3.89189 E 21 \cdot 2.71 8 ^{1.7}}

十進法表記

2.90624 E - 8

解答ステップ

\frac{1. 7 ^{13}}{13 !} \cdot 2.71 8^{- 1.7}

指数の規則を適用する:

a^{- b} = \frac{1}{a ^{b}}

2.71 8^{- 1.7} = \frac{1}{2.71 8 ^{1.7}}

= \frac{1. 7 ^{13}}{13 !} \cdot \frac{1}{2.71 8 ^{1.7}}

1. 7^{13} = 990.45780 \dots

= \frac{990.45780 \dots}{13 !} \cdot \frac{1}{2.71 8 ^{1.7}}

\frac{990.45780 \dots}{13 !} = \frac{9.90458 E 15}{10000000000000 \cdot 13 !}

= \frac{9.90458 E 15}{10000000000000 \cdot 13 !} \cdot \frac{1}{2.71 8 ^{1.7}}

キャンセル

\frac{9.90458 E 15}{10000000000000 \cdot 13 !} : \frac{6.19036 E 14}{3.89189 E 21}

= \frac{6.19036 E 14}{3.89189 E 21} \cdot \frac{1}{2.71 8 ^{1.7}}

\frac{6.19036 E 14}{3.89189 E 21} \cdot \frac{1}{2.71 8 ^{1.7}} = \frac{6.19036 E 14}{3.89189 E 21 \cdot 2.71 8 ^{1.7}}

= \frac{6.19036 E 14}{3.89189 E 21 \cdot 2.71 8 ^{1.7}}