簡約 518.2*5^{-0.7082}

解

簡約

518.2 \cdot 5^{- 0.7082}

\frac{2591}{5 ^{1.7082}}

十進法表記

165.76271 \dots

解答ステップ

518.2 \cdot 5^{- 0.7082}

指数の規則を適用する:

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

5^{- 0.7082} = \frac{1}{5 ^{0.7082}}

= 518.2 \cdot \frac{1}{5 ^{0.7082}}

518.2 \cdot \frac{1}{5 ^{0.7082}} = \frac{518.2}{5 ^{0.7082}}

= \frac{518.2}{5 ^{0.7082}}

\frac{518.2}{5 ^{0.7082}} = \frac{5182}{10 \cdot 5 ^{0.7082}}

= \frac{5182}{10 \cdot 5 ^{0.7082}}

数を因数に分解する:

5182 = 2 \cdot 2591

= \frac{2 \cdot 2591}{10 \cdot 5 ^{0.7082}}

数を因数に分解する:

10 = 2 \cdot 5

= \frac{2 \cdot 2591}{2 \cdot 5 \cdot 5 ^{0.7082}}

共通因数を約分する:

2

= \frac{2591}{5 \cdot 5 ^{0.7082}}

5 \cdot 5^{0.7082} = 5^{1.7082}

= \frac{2591}{5 ^{1.7082}}