簡約 (4.701^{10})(1.301^{-3})

解

簡約

(4.70 1^{10}) (1.30 1^{- 3})

2393704.97378 \dots

解答ステップ

(4.70 1^{10}) (1.30 1^{- 3})

指数の規則を適用する:

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

= 4.70 1^{10} \cdot \frac{1}{1.30 1 ^{3}}

分数を乗じる:

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

= \frac{1 \cdot 4.70 1 ^{10}}{1.30 1 ^{3}}

乗算:

1 \cdot 4.70 1^{10} = 4.70 1^{10}

= \frac{4.70 1 ^{10}}{1.30 1 ^{3}}

4.70 1^{10} = 5271115.24947 \dots

= \frac{5271115.24947 \dots}{1.30 1 ^{3}}

1.30 1^{3} = 2.20207 \dots

= \frac{5271115.24947 \dots}{2.20207 \dots}

数を割る:

\frac{5271115.24947 \dots}{2.20207 \dots} = 2393704.97378 \dots

= 2393704.97378 \dots