化简 (7x^5y^2)(x^2y^3)

解答

化简

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

7 x^{7} y^{5}

求解步骤

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

使用指数法则:

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

x^{5} x^{2} = x^{5 + 2}

= 7 y^{2} x^{5 + 2} y^{3}

数字相加:

5 + 2 = 7

= 7 y^{2} x^{7} y^{3}

使用指数法则:

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

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

= 7 x^{7} y^{2 + 3}

数字相加:

2 + 3 = 5

= 7 x^{7} y^{5}

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