簡約 (1.41210^{-26})(5.024*10^{22})

解

簡約

(1.412 \cdot 1 0^{- 26}) \cdot (5.024 \cdot 1 0^{22})

0.0007093888

解答ステップ

(1.412 \cdot 1 0^{- 26}) (5.024 \cdot 1 0^{22})

指数の規則を適用する:

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

= 1 0^{22} \cdot 1.412 \cdot 5.024 \cdot \frac{1}{1 0 ^{26}}

分数を乗じる:

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

= 1.412 \cdot 5.024 \cdot \frac{1 0 ^{22} \cdot 1}{1 0 ^{26}}

\frac{1 \cdot 1 0 ^{22}}{1 0 ^{26}} = \frac{1}{10000}

= 1.412 \cdot 5.024 \cdot \frac{1}{10000}

数を乗じる:

1.412 \cdot 5.024 = 7.093888

= 7.093888 \cdot \frac{1}{10000}

分数を乗じる:

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

= \frac{1 \cdot 7.093888}{10000}

数を乗じる:

1 \cdot 7.093888 = 7.093888

= \frac{7.093888}{10000}

数を割る:

\frac{7.093888}{10000} = 0.0007093888

= 0.0007093888