簡約 (3y^{2/3})^3(2y^2)^2

解

簡約

(3 y^{\frac{2}{3}})^{3} (2 y^{2})^{2}

108 y^{6}

解答ステップ

(3 y^{\frac{2}{3}})^{3} (2 y^{2})^{2}

簡素化

(3 y^{\frac{2}{3}})^{3} : 27 y^{2}

= 27 y^{2} (2 y^{2})^{2}

簡素化

(2 y^{2})^{2} : 4 y^{4}

= 27 y^{2} \cdot 4 y^{4}

数を乗じる:

27 \cdot 4 = 108

= 108 y^{2} y^{4}

指数の規則を適用する:

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

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

= 108 y^{2 + 4}

数を足す:

2 + 4 = 6

= 108 y^{6}