簡約 ((-2xy)^3(3ab^2)^2(-ax^2y^3))/((-3ab^2)^2(2xy^2)^3)

解

簡約

\frac{( - 2 x y ) ^{3} ( 3 a b ^{2} ) ^{2} ( - a x ^{2} y ^{3} )}{( - 3 a b ^{2} ) ^{2} ( 2 x y ^{2} ) ^{3}}

a x^{2}

解答ステップ

\frac{( - 2 x y ) ^{3} ( 3 a b ^{2} ) ^{2} ( - a x ^{2} y ^{3} )}{( - 3 a b ^{2} ) ^{2} ( 2 x y ^{2} ) ^{3}}

括弧を削除する:

(- a) = - a

= \frac{- ( - 2 x y ) ^{3} ( 3 a b ^{2} ) ^{2} a x ^{2} y ^{3}}{( - 3 a b ^{2} ) ^{2} ( 2 x y ^{2} ) ^{3}}

- (- 2 x y)^{3} (3 a b^{2})^{2} a x^{2} y^{3} = a x^{2} (2 x y^{2})^{3} (3 a b^{2})^{2}

= \frac{a x ^{2} ( 2 x y ^{2} ) ^{3} ( 3 a b ^{2} ) ^{2}}{( - 3 a b ^{2} ) ^{2} ( 2 x y ^{2} ) ^{3}}

(- 3 a b^{2})^{2} (2 x y^{2})^{3} = (3 a b^{2})^{2} (2 x y^{2})^{3}

= \frac{a x ^{2} ( 2 x y ^{2} ) ^{3} ( 3 a b ^{2} ) ^{2}}{( 3 a b ^{2} ) ^{2} ( 2 x y ^{2} ) ^{3}}

共通因数を約分する:

(2 x y^{2})^{3}

= \frac{a x ^{2} ( 3 a b ^{2} ) ^{2}}{( 3 a b ^{2} ) ^{2}}

共通因数を約分する:

(3 a b^{2})^{2}

= a x^{2}