Product Rule
x^3 * x^6
x^9
(x^4)^5
x^20
(x^6)/(x^5)
x

x^-8
1/x^8
12345678910115^0
1

(x^2y^-4)/(y^2)
x^2/(y^6)

2x^5 * 4x^7
8x^12
(x^2y^3)^2
x^4y^6

(x^7y^-4)/(x^3y^2)
x^4/y^6
4x^-9
4/(x^9)

-x^0
-1
3x^2a^-3b^4*-5a^4x^-3
(-15ab^4)/(x)
(4f^8m^3)(6f^4n^-2)
(24f^12m^3)/(n^2)

(2xy)^6
64x^6y^6
(u^2)/(u^9)
1/(u^7)

(3x^-8)(6x^4)
18/(x^4)
((x^7)^3)^0
1

((2x^3)/(3y^2))^-4
(81y^8)/(16x^12)

(8r^5p^-2)(2r^-7p^5)
(16p^3)/r^2
(4w^5x^-2)^2
(16w^10)/x^4

(x^10z^-5)/(x^3)
x^7/(z^5)
(v^5)^-8
1/(v^40)

-3x^0
-3
3ab^4 \div 2/5a^2b
(15b^3)/(2a)
(7s^5p^3)(3s^6p^-5)
(21s^11)/p^2

3(8w^3y^7)^0
3
(8m^4x^3)/(4m^8x)
(2x^2)/(m^4)

11a^2 * 3a^-6
33/a^4
-(4xyz)^0 * (7xyz)^1
-7xyz

(2p^3)^-2(-5p^4)^3
-(125p^6)/(4)