簡約 197523*(58654+20)^{-7872}

解

簡約

197523 \cdot (58654 + 20)^{- 7872}

\frac{21947}{3 ^{7870} \cdot 1955 8 ^{7872}}

解答ステップ

197523 (58654 + 20)^{- 7872}

指数の規則を適用する:

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

(58654 + 20)^{- 7872} = \frac{1}{( 58654 + 20 ) ^{7872}}

= 197523 \cdot \frac{1}{( 58654 + 20 ) ^{7872}}

数を足す:

58654 + 20 = 58674

= 197523 \cdot \frac{1}{5867 4 ^{7872}}

197523 \cdot \frac{1}{5867 4 ^{7872}} = \frac{21947}{3 ^{7870} \cdot 1955 8 ^{7872}}

= \frac{21947}{3 ^{7870} \cdot 1955 8 ^{7872}}