簡約 1.5610^{-20}85

解

簡約

1.56 \cdot 1 0^{- 20} \cdot 85

\frac{663}{5 ^{21} \cdot 1048576}

十進法表記

1.326 E - 18

解答ステップ

1.56 \cdot 1 0^{- 20} \cdot 85

数を乗じる:

1.56 \cdot 85 = 132.6

= 132.6 \cdot 1 0^{- 20}

= 1 0^{- 20} \cdot 132.6

指数の規則を適用する:

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

1 0^{- 20} = \frac{1}{1 0 ^{20}}

= \frac{1}{1 0 ^{20}} \cdot 132.6

\frac{1}{1 0 ^{20}} \cdot 132.6 = \frac{132.6}{1 0 ^{20}}

= \frac{132.6}{1 0 ^{20}}

\frac{132.6}{1 0 ^{20}} = \frac{1326}{10 \cdot 1 0 ^{20}}

= \frac{1326}{10 \cdot 1 0 ^{20}}

10 \cdot 1 0^{20} = 1 0^{21}

= \frac{1326}{1 0 ^{21}}

数を因数に分解する:

1326 = 2 \cdot 663

= \frac{2 \cdot 663}{1 0 ^{21}}

因数

1 0^{21} : 2^{21} \cdot 5^{21}

= \frac{2 \cdot 663}{2 ^{21} \cdot 5 ^{21}}

\frac{2}{2 ^{21}} = \frac{1}{2 ^{20}}

= \frac{663}{2 ^{20} \cdot 5 ^{21}}

2^{20} = 1048576

= \frac{663}{5 ^{21} \cdot 1048576}