簡約 0.3624*2^{-0.82892}

解

簡約

0.3624 \cdot 2^{- 0.82892}

\frac{453}{1250 \cdot 2 ^{0.82892}}

十進法表記

0.20401 \dots

解答ステップ

0.3624 \cdot 2^{- 0.82892}

指数の規則を適用する:

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

2^{- 0.82892} = \frac{1}{2 ^{0.82892}}

= 0.3624 \cdot \frac{1}{2 ^{0.82892}}

0.3624 \cdot \frac{1}{2 ^{0.82892}} = \frac{0.3624}{2 ^{0.82892}}

= \frac{0.3624}{2 ^{0.82892}}

\frac{0.3624}{2 ^{0.82892}} = \frac{3624}{10000 \cdot 2 ^{0.82892}}

= \frac{3624}{10000 \cdot 2 ^{0.82892}}

数を因数に分解する:

3624 = 8 \cdot 453

= \frac{8 \cdot 453}{10000 \cdot 2 ^{0.82892}}

数を因数に分解する:

10000 = 8 \cdot 1250

= \frac{8 \cdot 453}{8 \cdot 1250 \cdot 2 ^{0.82892}}

共通因数を約分する:

8

= \frac{453}{1250 \cdot 2 ^{0.82892}}