化简 (7x^2y^3)(3x^5y^8)

解答

化简

(7 x^{2} y^{3}) (3 x^{5} y^{8})

21 x^{7} y^{11}

求解步骤

(7 x^{2} y^{3}) (3 x^{5} y^{8})

使用指数法则:

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

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

= 7 y^{3} \cdot 3 x^{2 + 5} y^{8}

数字相加:

2 + 5 = 7

= 7 y^{3} \cdot 3 x^{7} y^{8}

使用指数法则:

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

y^{3} y^{8} = y^{3 + 8}

= 7 \cdot 3 x^{7} y^{3 + 8}

数字相加:

3 + 8 = 11

= 7 \cdot 3 x^{7} y^{11}

数字相乘:

7 \cdot 3 = 21

= 21 x^{7} y^{11}

f a c t or 128 x^{2} + 96 x y + 18 y^{2}

4 x + 8 = 7.2 + 5 x

f a c t or 9 x^{2} (4 x^{2} - 3) - 4 (4 x^{2} - 3)

\frac{x}{3} > 3 + \frac{10}{3 x}

s im pl i f y 354 + 316