簡約 80e^{-0.0123(2)}

解

簡約

80 e^{- 0.0123 (2)}

78.05600 \dots

解答ステップ

80 e^{- 0.0123 (2)}

指数の規則を適用する:

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

= 80 \cdot \frac{1}{e ^{2 \cdot 0.0123}}

数を乗じる:

0.0123 \cdot 2 = 0.0246

= 80 \cdot \frac{1}{e ^{0.0246}}

分数を乗じる:

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

= \frac{1 \cdot 80}{e ^{0.0246}}

数を乗じる:

1 \cdot 80 = 80

= \frac{80}{e ^{0.0246}}

e^{0.0246} = 1.02490 \dots

= \frac{80}{1.02490 \dots}

数を割る:

\frac{80}{1.02490 \dots} = 78.05600 \dots

= 78.05600 \dots