簡約 993.66e^{-53.1(0.1)}

解

簡約

993.66 e^{- 53.1 (0.1)}

4.91059 \dots

解答ステップ

993.66 e^{- 53.1 (0.1)}

指数の規則を適用する:

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

= 993.66 \cdot \frac{1}{e ^{0.1 \cdot 53.1}}

数を乗じる:

53.1 \cdot 0.1 = 5.31

= 993.66 \cdot \frac{1}{e ^{5.31}}

分数を乗じる:

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

= \frac{1 \cdot 993.66}{e ^{5.31}}

数を乗じる:

1 \cdot 993.66 = 993.66

= \frac{993.66}{e ^{5.31}}

e^{5.31} = 202.35022 \dots

= \frac{993.66}{202.35022 \dots}

数を割る:

\frac{993.66}{202.35022 \dots} = 4.91059 \dots

= 4.91059 \dots