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

Power Rule

100

(x^4)^5

x^20

200

4(y^3)^2

4y^6

300

(xy)^6

x^6y^6

400

(4w^5)^2

16w^10

500

(-x³)³

-x⁹

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

(4m^4)/(8m^8)

1/(2m^4)

Zero and Negative Exponent Rule

100

Any number to the zero power is? ___________

The base cannot be 0

1

200

x^-9

1/(x^9)

300

((x^2y^(-3))/(z^-5w^6))^0

1

400

(v^5)^-8

1/(v^40)

500

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

18/(x^4)