化简 (3x^4y^2)(5x^2y^2)

解答

化简

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

15 x^{6} y^{4}

求解步骤

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

使用指数法则:

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

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

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

数字相加:

4 + 2 = 6

= 3 y^{2} \cdot 5 x^{6} y^{2}

使用指数法则:

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

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

= 3 \cdot 5 x^{6} y^{2 + 2}

数字相加:

2 + 2 = 4

= 3 \cdot 5 x^{6} y^{4}

数字相乘:

3 \cdot 5 = 15

= 15 x^{6} y^{4}

s im pl i f y (x^{4} y^{2}) (x y^{8})

s im pl i f y - e^{- a t} t sinh (t b)

s im pl i f y 0.45 \cdot (\frac{15}{44})^{- 1}

s im pl i f y ((5^{3})^{2})^{2}

s im pl i f y 5 a^{2} b c^{2} (3 c - 4 ab)