簡約 (12!)/(6!(12-6)!)(x^2)^6(4/x)^6

解

簡約

\frac{12 !}{6 ! ( 12 - 6 ) !} (x^{2})^{6} (\frac{4}{x})^{6}

3784704 x^{6}

解答ステップ

\frac{12 !}{6 ! ( 12 - 6 ) !} (x^{2})^{6} (\frac{4}{x})^{6}

簡素化

(x^{2})^{6} : x^{12}

= \frac{12 !}{6 ! ( 12 - 6 ) !} x^{12} (\frac{4}{x})^{6}

簡素化

(\frac{4}{x})^{6} : \frac{4096}{x ^{6}}

= \frac{12 !}{6 ! ( 12 - 6 ) !} x^{12} \frac{4096}{x ^{6}}

キャンセル

\frac{12 !}{6 ! ( 12 - 6 ) !} : 924

= 924 x^{12} \frac{4096}{x ^{6}}

分数の規則を適用する:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{924 x ^{12} \cdot 4096}{x ^{6}}

簡素化

\frac{x ^{12}}{x ^{6}} : x^{6}

= 924 x^{6} \cdot 4096

数を乗じる:

924 \cdot 4096 = 3784704

= 3784704 x^{6}