Exponent Rules

Product Rule

100

RANDOM: If the area of a triangle is 60 ft² and the base length is 12 ft, what is the height?

10

200

2x^5 * 4x^7

8x^12

300

(4f^8m^3)(6f^4n^-2)

(24f^12m^3)/(n^2)

400

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

(16p^3)/r^2

500

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

(21s^11)/p^2

Power Rule

100

(2x^4)^5

32x^20

200

4(3y^3)^2

36y^6

300

(2x^3y)^6

64x^18y^6

400

(4w^5x^-2)^2

(16w^10)/x^4)

500

3(8w^3y^7)^0

3

Quotient Rule

100

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

x^4/y^6

200

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

2x

300

RANDOM: To the nearest thousandth, how many miles wide is it from the East Coast to the West Coast?

3000

400

(6u^2)/(4u^9)

3/(2u^7)

500

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

x^2/(2m^4)

Negative Exponent Rule

100

x^-8

1/x^8

200

4x^-9

4/(x^9)

300

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

18/(x^4)

400

RANDOM: If a bill costs $24.00 and someone wants to leave a 20% tip, how much is that?

$4.80

500

11a^2w^-7 * 3a^-6w^6

33/a^4w

Zero Exponent Rule

100

(3x)^0

1

200

-3x^0

-3

300

((-x^7)^3)^0

-1

400

(-2x^0)^3

-8

500

-(4xyz)^0 * (7xyz)^1

-7xyz

A Little Bit of Everything

100

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

What is 

x^2/(2y^6)?

200

3x^2a^-3b^4*-5a^4x^-3

What is 

(-15ab^4)/(x)?

300

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

What is 

(81y^8)/(16x^12)?

400

3ab^4 \div 2/5a^2b

What is 

(15b^3)/(2a)?

500

(2p^3)^-2(-5p^4)^3

What is 

-(125p^6)/(4)?