簡約 (7.6210^{-12})(6.8710^6)

解

簡約

(7.62 \cdot 1 0^{- 12}) (6.87 \cdot 1 0^{6})

0.0000523494

解答ステップ

(7.62 \cdot 1 0^{- 12}) (6.87 \cdot 1 0^{6})

指数の規則を適用する:

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

= 1 0^{6} \cdot 6.87 \cdot 7.62 \cdot \frac{1}{1 0 ^{12}}

分数を乗じる:

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

= 6.87 \cdot 7.62 \cdot \frac{1 0 ^{6} \cdot 1}{1 0 ^{12}}

\frac{1 \cdot 1 0 ^{6}}{1 0 ^{12}} = \frac{1}{1000000}

= 6.87 \cdot 7.62 \cdot \frac{1}{1000000}

数を乗じる:

7.62 \cdot 6.87 = 52.3494

= 52.3494 \cdot \frac{1}{1000000}

分数を乗じる:

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

= \frac{1 \cdot 52.3494}{1000000}

数を乗じる:

1 \cdot 52.3494 = 52.3494

= \frac{52.3494}{1000000}

数を割る:

\frac{52.3494}{1000000} = 0.0000523494

= 0.0000523494