簡約 3x^2y^3(3x^2y^3)

解

簡約

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

9 x^{4} y^{6}

解答ステップ

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

指数の規則を適用する:

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

3 \cdot 3 = 3^{1 + 1}

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

数を足す:

1 + 1 = 2

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

指数の規則を適用する:

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

x^{2} x^{2} = x^{2 + 2}

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

数を足す:

2 + 2 = 4

= y^{3} \cdot 3^{2} x^{4} y^{3}

指数の規則を適用する:

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

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

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

数を足す:

3 + 3 = 6

= 3^{2} x^{4} y^{6}

3^{2} = 9

= 9 x^{4} y^{6}