簡約 (3^2)^3(23^5)^{-2}*(18)^2

解

簡約

(3^{2})^{3} \cdot (2 \cdot 3^{5})^{- 2} \cdot (18)^{2}

1

解答ステップ

(3^{2})^{3} (2 \cdot 3^{5})^{- 2} \cdot 1 8^{2}

(3^{2})^{3} = 729

= 729 (2 \cdot 3^{5})^{- 2} \cdot 1 8^{2}

(2 \cdot 3^{5})^{- 2} = \frac{1}{236196}

= 729 \cdot \frac{1}{236196} \cdot 1 8^{2}

1 8^{2} = 324

= 729 \cdot \frac{1}{236196} \cdot 324

数を乗じる:

729 \cdot 324 = 236196

= 236196 \cdot \frac{1}{236196}

= \frac{1}{236196} \cdot 236196

元を分数に変換する:

236196 = \frac{236196}{1}

= \frac{1}{236196} \cdot \frac{236196}{1}

共通因数をクロス約分する:

236196

= 1