簡約 e^{10.1}*30.5^{-1.0221}

解

簡約

e^{10.1} \cdot 30. 5^{- 1.0221}

740.06761 \dots

解答ステップ

e^{10.1} \cdot 30. 5^{- 1.0221}

指数の規則を適用する:

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

= e^{10.1} \frac{1}{30. 5 ^{1.0221}}

分数を乗じる:

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

= \frac{1 \cdot e ^{10.1}}{30. 5 ^{1.0221}}

乗算:

1 \cdot e^{10.1} = e^{10.1}

= \frac{e ^{10.1}}{30. 5 ^{1.0221}}

30. 5^{1.0221} = 32.89295 \dots

= \frac{e ^{10.1}}{32.89295 \dots}

e^{10.1} = 24343.00942 \dots

= \frac{24343.00942 \dots}{32.89295 \dots}

数を割る:

\frac{24343.00942 \dots}{32.89295 \dots} = 740.06761 \dots

= 740.06761 \dots