簡約 (6f^9g^{-4})^2

解

簡約

(6 f^{9} g^{- 4})^{2}

\frac{36 f ^{18}}{g ^{8}}

解答ステップ

(6 f^{9} g^{- 4})^{2}

指数の規則を適用する:

(a \cdot b)^{n} = a^{n} b^{n}

(6 f^{9} g^{- 4})^{2} = 6^{2} (f^{9})^{2} (g^{- 4})^{2}

= 6^{2} (f^{9})^{2} (g^{- 4})^{2}

6^{2} = 36

= 36 (f^{9})^{2} (g^{- 4})^{2}

簡素化

(f^{9})^{2} : f^{18}

= 36 f^{18} (g^{- 4})^{2}

簡素化

(g^{- 4})^{2} : \frac{1}{g ^{8}}

= 36 f^{18} \frac{1}{g ^{8}}

簡素化

36 f^{18} \frac{1}{g ^{8}} : \frac{36 f ^{18}}{g ^{8}}

= \frac{36 f ^{18}}{g ^{8}}