簡約 (5.7(10^{-5}))(14137.17)

解

簡約

(5.7 (1 0^{- 5})) (14137.17)

0.80581869

解答ステップ

(5.7 (1 0^{- 5})) (14137.17)

規則を適用する:

(a) = a

(14137.17) = 14137.17

= 5.7 \cdot 1 0^{- 5} \cdot 14137.17

数を乗じる:

5.7 \cdot 14137.17 = 80581.869

= 80581.869 \cdot 1 0^{- 5}

= 1 0^{- 5} \cdot 80581.869

指数の規則を適用する:

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

1 0^{- 5} = \frac{1}{1 0 ^{5}}

= \frac{1}{1 0 ^{5}} \cdot 80581.869

1 0^{5} = 100000

= \frac{1}{100000} \cdot 80581.869

\frac{1}{100000} \cdot 80581.869 = \frac{80581.869}{100000}

= \frac{80581.869}{100000}

数を割る:

\frac{80581.869}{100000} = 0.80581869

= 0.80581869