簡約 (3x^9)(3x^2)

解

簡約

(3 x^{9}) (3 x^{2})

9 x^{11}

解答ステップ

(3 x^{9}) (3 x^{2})

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^{9} \cdot 3^{1 + 1} x^{2}

数を足す:

1 + 1 = 2

= x^{9} \cdot 3^{2} x^{2}

指数の規則を適用する:

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

x^{9} x^{2} = x^{9 + 2}

= 3^{2} x^{9 + 2}

数を足す:

9 + 2 = 11

= 3^{2} x^{11}

3^{2} = 9

= 9 x^{11}