簡約 (3.72(10))(10^{-2})

解

簡約

(3.72 (10)) (1 0^{- 2})

0.372

解答ステップ

(3.72 (10)) (1 0^{- 2})

規則を適用する:

(a) = a

(1 0^{- 2}) = 1 0^{- 2}

= 3.72 \cdot 10 \cdot 1 0^{- 2}

数を乗じる:

3.72 \cdot 10 = 37.2

= 37.2 \cdot 1 0^{- 2}

= 1 0^{- 2} \cdot 37.2

指数の規則を適用する:

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

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

= \frac{1}{1 0 ^{2}} \cdot 37.2

1 0^{2} = 100

= \frac{1}{100} \cdot 37.2

\frac{1}{100} \cdot 37.2 = \frac{37.2}{100}

= \frac{37.2}{100}

数を割る:

\frac{37.2}{100} = 0.372

= 0.372