簡約 6.626x10^{-24}(3x10^8)

解

簡約

6.626 x 1 0^{- 24} (3 x 1 0^{8})

\frac{19.878 x ^{2}}{1 0 ^{16}}

解答ステップ

6.626 x \cdot 1 0^{- 24} (3 x \cdot 1 0^{8})

指数の規則を適用する:

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

1 0^{- 24} = \frac{1}{1 0 ^{24}}

= 6.626 x \frac{1}{1 0 ^{24}} \cdot 3 x \cdot 1 0^{8}

数を乗じる:

6.626 \cdot 3 = 19.878

= 19.878 x \frac{1}{1 0 ^{24}} x \cdot 1 0^{8}

指数の規則を適用する:

aa = a^{2}

xx = x^{2}

= 19.878 x^{2} \frac{1}{1 0 ^{24}} \cdot 1 0^{8}

= 1 0^{8} \cdot 19.878 \cdot \frac{1}{1 0 ^{24}} x^{2}

分数の規則を適用する:

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

= \frac{1 0 ^{8} \cdot 19.878 \cdot 1 \cdot x ^{2}}{1 0 ^{24}}

数を乗じる:

19.878 \cdot 1 = 19.878

= \frac{1 0 ^{8} \cdot 19.878 x ^{2}}{1 0 ^{24}}

\frac{1 0 ^{8}}{1 0 ^{24}} = \frac{1}{1 0 ^{16}}

= \frac{19.878 x ^{2}}{1 0 ^{16}}