Monomials Review

Adding Monomials

100

12 + 13

25

200

4x + (-10x)

-6x

300

10x + 13x + (-2x)

21x

400

9y + 12x + y + 3x

15x + 10y

500

-12 + 4x + -8y + 1 + (-20)x + 2

-16x + -8y + -9

Subtracting Monomials

100

23 - 14

9

200

-x - 5x

-6x

300

20x - 2x - 12 - (-1)

18x - 11

400

2x - 10 - (-13x) - 9 - 20

15x - 39

500

-2x - 5y - ( -10x) - ( -12) - y 

8x-6y+12

Multiplying Monomials

100

2 * 5

10

200

10² * 10⁵

10⁷

300

(-x)⁹ * (-x)^-3

(-x)⁶

400

a⁵ * b² * a^-8

b²/(a³)

500

-12x⁵y^-1 * (1/2)x²y^-3

(-6x⁷)/y⁴

Dividing Monomials

100

(x^a)/(x^b)

x^a-b

200

(4³)/4

4²

300

(m⁶n⁴)/(m^-3n⁴)

m⁹

400

(15x³)/(3x²)

5x

500

(-3r⁶)/(18r¹⁰)

-1/(6r⁴)

Power Rule

100

(12³)¹⁰

12³⁰

200

(4²)^-3

1/(4^-6)

300

(xy⁴)³

x³y¹²

400

(4b⁷)³

64b²¹

500

(5c^-9d⁴)²

(25d⁸)/(c¹⁸)