Exponent Rules

Product Rule

100

x^3 * x^6

x^9

200

2x^5 * x^7

2x^12

300

(4f^8)(6f^4)

24f^12

400

(8r^5)(2r^-7)

16/r^2

500

(7s^5p^3)(3s^6p^-5)

(21s^11)/p^2

600

(10x²y^-5z⁴)(-2x⁵y⁴z^-8)

What is (-20x^7)/(y^-1z^-4)

Power Rule

100

(x^4)^5

x^20

200

(4y^3)^2

16y^6

300

(xy)^6

x^6y^6

400

(5x^3w^5)^2

25x^6w^10

500

(8w^3y^7)^0

1

600

(4x^-2y^3z)^3

What is (64y^9z^3)/(x^6)

Quotient Rule

100

x^7/x^3

x^4

200

(2x^6)/(x^5)

2x

300

(8x^10)/(4x^3)

2x^7

400

u^2/u^9

1/(u^7)

500

(300x^4y^4)/(30x^7y^2)

(10y^2)/(x^3)

600

(150x^4y^-5z^-8)/(25x^-2yz^-4)

What is 

(6x^6)/(y^6z^4)

Negative Exponent Rule

100

Any number to the Zero power is? ___________

The base cannot be 0

What is 1

200

4x^-9

4/(x^9)

300

(x^2y^-3)^-4

What is

 

400

(3x^-8)(6x^4)

18/(x^4)

500

(v^5)^-8

1/(v^40)

600

11a^2 * 3a^-6

33/a^4