簡約 (4.29610^{11})(1.861410^{-14})

解

簡約

(4.296 \cdot 1 0^{11}) (1.8614 \cdot 1 0^{- 14})

0.0079965744

解答ステップ

(4.296 \cdot 1 0^{11}) (1.8614 \cdot 1 0^{- 14})

指数の規則を適用する:

a^{b} \cdot a^{c} = a^{b + c}

1 0^{11} \cdot 1 0^{- 14} = 1 0^{11 - 14}

= 4.296 \cdot 1.8614 \cdot 1 0^{11 - 14}

数を引く:

11 - 14 = - 3

= 4.296 \cdot 1.8614 \cdot 1 0^{- 3}

指数の規則を適用する:

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

1 0^{- 3} = \frac{1}{1 0 ^{3}}

= 1.8614 \cdot 4.296 \cdot \frac{1}{1 0 ^{3}}

数を乗じる:

4.296 \cdot 1.8614 = 7.9965744

= 7.9965744 \cdot \frac{1}{1 0 ^{3}}

分数を乗じる:

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

= \frac{1 \cdot 7.9965744}{1 0 ^{3}}

数を乗じる:

1 \cdot 7.9965744 = 7.9965744

= \frac{7.9965744}{1 0 ^{3}}

1 0^{3} = 1000

= \frac{7.9965744}{1000}

数を割る:

\frac{7.9965744}{1000} = 0.0079965744

= 0.0079965744