簡約 (0.5x^4y^2)(0.4x^3y^2z)

解

簡約

(0.5 x^{4} y^{2}) (0.4 x^{3} y^{2} z)

0.2 x^{7} y^{4} z

解答ステップ

(0.5 x^{4} y^{2}) (0.4 x^{3} y^{2} z)

指数の規則を適用する:

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

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

= 0.5 y^{2} \cdot 0.4 x^{4 + 3} y^{2} z

数を足す:

4 + 3 = 7

= 0.5 y^{2} \cdot 0.4 x^{7} y^{2} z

指数の規則を適用する:

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

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

= 0.5 \cdot 0.4 x^{7} y^{2 + 2} z

数を足す:

2 + 2 = 4

= 0.5 \cdot 0.4 x^{7} y^{4} z

数を乗じる:

0.5 \cdot 0.4 = 0.2

= 0.2 x^{7} y^{4} z