簡約 e^{-0.0012}(0.0012)^2(1/2)

解

簡約

e^{- 0.0012} (0.0012)^{2} (\frac{1}{2})

7.19137 E - 7

解答ステップ

e^{- 0.0012} (0.0012)^{2} (\frac{1}{2})

指数の規則を適用する:

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

= 0.001 2^{2} \cdot \frac{1}{2} \cdot \frac{1}{e ^{0.0012}}

分数を乗じる:

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

= \frac{1 \cdot 1 \cdot 0.001 2 ^{2}}{e ^{0.0012} \cdot 2}

乗算:

1 \cdot 1 \cdot 0.001 2^{2} = 0.001 2^{2}

= \frac{0.001 2 ^{2}}{2 e ^{0.0012}}

0.001 2^{2} = 0.00000144

= \frac{0.00000144}{2 e ^{0.0012}}

e^{0.0012} = 1.00120 \dots

= \frac{0.00000144}{2 \cdot 1.00120 \dots}

数を乗じる:

1.00120 \dots \cdot 2 = 2.00240 \dots

= \frac{0.00000144}{2.00240 \dots}

数を割る:

\frac{0.00000144}{2.00240 \dots} = 7.19137 E - 7

= 7.19137 E - 7