簡約 r(45)e^{-(0.21)(13.2)}

解

簡約

r (45) e^{- (0.21) (13.2)}

2.81415 \dots r

解答ステップ

r (45) e^{- (0.21) (13.2)}

指数の規則を適用する:

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

= 45 \cdot \frac{1}{e ^{0.21 \cdot 13.2}} r

数を乗じる:

0.21 \cdot 13.2 = 2.772

= 45 \cdot \frac{1}{e ^{2.772}} r

分数を乗じる:

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

= \frac{1 \cdot r \cdot 45}{e ^{2.772}}

数を乗じる:

1 \cdot 45 = 45

= \frac{45 r}{e ^{2.772}}

e^{2.772} = 15.99058 \dots

= \frac{45 r}{15.99058 \dots}

数を割る:

\frac{45}{15.99058 \dots} = 2.81415 \dots

= 2.81415 \dots r