簡約 (x^2-y)(x^3y^2)(x^4y^3)(x^5y^4)

解

簡約

(x^{2} - y) (x^{3} y^{2}) (x^{4} y^{3}) (x^{5} y^{4})

x^{12} y^{9} (x^{2} - y)

解答ステップ

(x^{2} - y) (x^{3} y^{2}) (x^{4} y^{3}) (x^{5} y^{4})

指数の規則を適用する:

a^{b} \cdot a^{c} = a^{b + c}

x^{3} x^{4} x^{5} = x^{3 + 4 + 5}

= (x^{2} - y) y^{2} y^{3} x^{3 + 4 + 5} y^{4}

数を足す:

3 + 4 + 5 = 12

= (x^{2} - y) y^{2} y^{3} x^{12} y^{4}

指数の規則を適用する:

a^{b} \cdot a^{c} = a^{b + c}

y^{2} y^{3} y^{4} = y^{2 + 3 + 4}

= (x^{2} - y) x^{12} y^{2 + 3 + 4}

数を足す:

2 + 3 + 4 = 9

= (x^{2} - y) x^{12} y^{9}