簡約 (6.610^{-8})(7.8*10^{-2})

解

簡約

(6.6 \cdot 1 0^{- 8}) \cdot (7.8 \cdot 1 0^{- 2})

5.148 E - 9

解答ステップ

(6.6 \cdot 1 0^{- 8}) (7.8 \cdot 1 0^{- 2})

簡素化

6.6 \cdot 1 0^{- 8} : 0.000000066

= 0.000000066 \cdot 7.8 \cdot 1 0^{- 2}

指数の規則を適用する:

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

1 0^{- 2} = \frac{1}{1 0 ^{2}}

= 0.000000066 \cdot 7.8 \cdot \frac{1}{1 0 ^{2}}

1 0^{2} = 100

= 0.000000066 \cdot 7.8 \cdot \frac{1}{100}

数を乗じる:

0.000000066 \cdot 7.8 = 0.0000005148

= 0.0000005148 \cdot \frac{1}{100}

= \frac{1}{100} \cdot 0.0000005148

\frac{1}{100} \cdot 0.0000005148 = \frac{0.0000005148}{100}

= \frac{0.0000005148}{100}

数を割る:

\frac{0.0000005148}{100} = 5.148 E - 9

= 5.148 E - 9