簡約 (9*10^{-32})(15.8)(0.722)

解

簡約

(9 \cdot 1 0^{- 32}) (15.8) (0.722)

\frac{256671}{2500 \cdot 1 0 ^{32}}

十進法表記

1.02668 E - 30

解答ステップ

(9 \cdot 1 0^{- 32}) (15.8) (0.722)

(9 \cdot 1 0^{- 32}) (15.8) (0.722) = (9 \cdot 1 0^{- 32}) \cdot 15.8 \cdot 0.722

= 9 \cdot 1 0^{- 32} \cdot 15.8 \cdot 0.722

数を乗じる:

9 \cdot 15.8 \cdot 0.722 = 102.6684

= 102.6684 \cdot 1 0^{- 32}

= 1 0^{- 32} \cdot 102.6684

指数の規則を適用する:

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

1 0^{- 32} = \frac{1}{1 0 ^{32}}

= \frac{1}{1 0 ^{32}} \cdot 102.6684

\frac{1}{1 0 ^{32}} \cdot 102.6684 = \frac{102.6684}{1 0 ^{32}}

= \frac{102.6684}{1 0 ^{32}}

\frac{102.6684}{1 0 ^{32}} = \frac{1026684}{10000 \cdot 1 0 ^{32}}

= \frac{1026684}{10000 \cdot 1 0 ^{32}}

数を因数に分解する:

1026684 = 4 \cdot 256671

= \frac{4 \cdot 256671}{10000 \cdot 1 0 ^{32}}

数を因数に分解する:

10000 = 4 \cdot 2500

= \frac{4 \cdot 256671}{4 \cdot 2500 \cdot 1 0 ^{32}}

共通因数を約分する:

4

= \frac{256671}{2500 \cdot 1 0 ^{32}}