簡約 (2x^4)(3x^2y^2)(5xy^3)

解

簡約

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

30 x^{7} y^{5}

解答ステップ

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

指数の規則を適用する:

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

x^{4} x^{2} x = x^{4 + 2 + 1}

= 2 \cdot 3 y^{2} \cdot 5 x^{4 + 2 + 1} y^{3}

数を足す:

4 + 2 + 1 = 7

= 2 \cdot 3 y^{2} \cdot 5 x^{7} y^{3}

指数の規則を適用する:

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

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

= 2 \cdot 3 \cdot 5 x^{7} y^{2 + 3}

数を足す:

2 + 3 = 5

= 2 \cdot 3 \cdot 5 x^{7} y^{5}

数を乗じる:

2 \cdot 3 \cdot 5 = 30

= 30 x^{7} y^{5}