簡約 (5x^3y^2)(5x^3y^4)

解

簡約

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

25 x^{6} y^{6}

解答ステップ

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

指数の規則を適用する:

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

5 \cdot 5 = 5^{1 + 1}

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

数を足す:

1 + 1 = 2

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

指数の規則を適用する:

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

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

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

数を足す:

3 + 3 = 6

= y^{2} \cdot 5^{2} x^{6} 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}

= 5^{2} x^{6} y^{2 + 4}

数を足す:

2 + 4 = 6

= 5^{2} x^{6} y^{6}

5^{2} = 25

= 25 x^{6} y^{6}