簡約 60e^{-0.3(6)}

解

簡約

60 e^{- 0.3 (6)}

9.91793 \dots

解答ステップ

60 e^{- 0.3 (6)}

指数の規則を適用する:

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

= 60 \cdot \frac{1}{e ^{6 \cdot 0.3}}

数を乗じる:

0.3 \cdot 6 = 1.8

= 60 \cdot \frac{1}{e ^{1.8}}

分数を乗じる:

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

= \frac{1 \cdot 60}{e ^{1.8}}

数を乗じる:

1 \cdot 60 = 60

= \frac{60}{e ^{1.8}}

e^{1.8} = 6.04964 \dots

= \frac{60}{6.04964 \dots}

数を割る:

\frac{60}{6.04964 \dots} = 9.91793 \dots

= 9.91793 \dots