簡約 10^{-10}(e^{(0.7)/(0.026)}-1)

解

簡約

1 0^{- 10} (e^{\frac{0.7}{0.026}} - 1)

49.26559 \dots

解答ステップ

1 0^{- 10} (e^{\frac{0.7}{0.026}} - 1)

指数の規則を適用する:

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

= \frac{1}{1 0 ^{10}} (e^{\frac{0.7}{0.026}} - 1)

分数を乗じる:

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

= \frac{1 \cdot ( e ^{\frac{0.7}{0.026}} - 1 )}{1 0 ^{10}}

1 \cdot (e^{\frac{0.7}{0.026}} - 1) = e^{\frac{0.7}{0.026}} - 1

= \frac{e ^{\frac{0.7}{0.026}} - 1}{1 0 ^{10}}

e^{\frac{0.7}{0.026}} = 492655962757.3873

= \frac{492655962757.3873 - 1}{1 0 ^{10}}

数を引く:

492655962757.3873 - 1 = 492655962756.3873

= \frac{492655962756.3873}{1 0 ^{10}}

元を10進法形式に変換する

1 0^{10} = 10000000000

= \frac{492655962756.3873}{10000000000}

数を割る:

\frac{492655962756.3873}{10000000000} = 49.26559 \dots

= 49.26559 \dots