簡約 0.51.6710^{-27}(9.5810^6)^2

解

簡約

0.5 \cdot 1.67 \cdot 1 0^{- 27} \cdot (9.58 \cdot 1 0^{6})^{2}

1 0^{12} \cdot \frac{38316647}{500000 \cdot 1 0 ^{27}}

十進法表記

0

解答ステップ

0.5 \cdot 1.67 \cdot 1 0^{- 27} (9.58 \cdot 1 0^{6})^{2}

数を乗じる:

0.5 \cdot 1.67 = 0.835

= 0.835 \cdot 1 0^{- 27} (9.58 \cdot 1 0^{6})^{2}

= 1 0^{- 27} \cdot 0.835 (9.58 \cdot 1 0^{6})^{2}

指数の規則を適用する:

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

1 0^{- 27} = \frac{1}{1 0 ^{27}}

= \frac{1}{1 0 ^{27}} \cdot 0.835 (9.58 \cdot 1 0^{6})^{2}

(9.58 \cdot 1 0^{6})^{2} = 91.7764 \cdot 1 0^{12}

= \frac{1}{1 0 ^{27}} \cdot 0.835 \cdot 91.7764 \cdot 1 0^{12}

数を乗じる:

0.835 \cdot 91.7764 = 76.633294

= \frac{1}{1 0 ^{27}} \cdot 76.633294 \cdot 1 0^{12}

= 1 0^{12} \cdot 76.633294 \cdot \frac{1}{1 0 ^{27}}

1 0^{12} \cdot 76.633294 \cdot \frac{1}{1 0 ^{27}} = 1 0^{12} \cdot \frac{76.633294}{1 0 ^{27}}

= 1 0^{12} \cdot \frac{76.633294}{1 0 ^{27}}

\frac{76.633294}{1 0 ^{27}} = \frac{76633294}{1000000 \cdot 1 0 ^{27}}

= 1 0^{12} \cdot \frac{76633294}{1000000 \cdot 1 0 ^{27}}

キャンセル

\frac{76633294}{1000000 \cdot 1 0 ^{27}} : \frac{38316647}{500000 \cdot 1 0 ^{27}}

= 1 0^{12} \cdot \frac{38316647}{500000 \cdot 1 0 ^{27}}