Add/Subtract
Product rule
Power rule
Quotient rule
Random
100

3xy2  + 10xy2

13xy2

100

2x2y2(9x2y2)

18x4y4

100

(8xy)2

64x2y2

100

4x5y(-2x2)

-8x7y

100

In a multiplication problem, what do you do to the exponents?

Add them.

200

14xyz - 8xy2z

14xyz - 8xy2z

200

4xy(4x2y3)

16x3y4

200

(3x3y2z)3

27x9y6z3

200

18a4b3c4  divided by 3ab2c3

6a3bc

200

Factor x2 - x - 42

(x - 7)(x + 6)

300

20xyz - 12xy2 + 3xyz

23xyz -12xy2

300

(4a2b3c)5abc3

20a3b4c4

300

(2ab2)4 

16a4b8

300

12ab4c divided by 4ab2c2

3b2c3

300

Factor 2x3 +10x

2x(x2 + 5)

400

3ab2 + 11ac3 - ab2 + 2ac3

2ab2 + 13ac3

400

-2xy3(10xy2z)(5x4z)

-100x6y5z2

400

(5xyz2)3

125x3y3z6

400

(36x4y4) divided by (12xy)

3x3y3

400
Factor 2x2 + 3x + 1

What is (x + 1) (2x + 1)

500

-23x2y2  + 17x2y2  - 5x2y2 

-11x2y2

500

(2xy)(4x2y2)  +  (5xy3)(-8x2

-32x3y3

500

(2a2bc3)5

32a10b5c15

500

44xydivided by 4xy

11y

500

What does a negative exponent mean?

ex. 5-1 =

Write the answer on the bottom of a fraction with 1 as a numerator.

ex. 1/5

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