簡約 0.37(5187368.42105)^{-1/5}(8)

解

簡約

0.37 (5187368.42105)^{- \frac{1}{5}} (8)

\frac{62 5 ^{\frac{1}{5}} \cdot 5.92}{10374736842 1 ^{\frac{1}{5}}}

十進法表記

0.13436 \dots

解答ステップ

0.37 \cdot 5187368.4210 5^{- \frac{1}{5}} (8)

規則を適用する:

(a) = a

(8) = 8

= 0.37 \cdot 5187368.4210 5^{- \frac{1}{5}} \cdot 8

数を乗じる:

0.37 \cdot 8 = 2.96

= 2.96 \cdot 5187368.4210 5^{- \frac{1}{5}}

= 5187368.4210 5^{- \frac{1}{5}} \cdot 2.96

指数の規則を適用する:

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

5187368.4210 5^{- \frac{1}{5}} = \frac{1}{5187368.4210 5 ^{\frac{1}{5}}}

= \frac{1}{5187368.4210 5 ^{\frac{1}{5}}} \cdot 2.96

5187368.4210 5^{\frac{1}{5}} = \frac{10374736842 1 ^{\frac{1}{5}}}{2 \cdot 62 5 ^{\frac{1}{5}}}

= \frac{1}{\frac{10374736842 1 ^{\frac{1}{5}}}{2 \cdot 62 5 ^{\frac{1}{5}}}} \cdot 2.96

分数の規則を適用する:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{2 \cdot 62 5 ^{\frac{1}{5}}}{10374736842 1 ^{\frac{1}{5}}} \cdot 2.96

\frac{2 \cdot 62 5 ^{\frac{1}{5}}}{10374736842 1 ^{\frac{1}{5}}} \cdot 2.96 = \frac{62 5 ^{\frac{1}{5}} \cdot 5.92}{10374736842 1 ^{\frac{1}{5}}}

= \frac{62 5 ^{\frac{1}{5}} \cdot 5.92}{10374736842 1 ^{\frac{1}{5}}}