Product Rule
Quotient Rule
Power Rule
Properties
Teacher Trivia
100

x* x5 

x8

100

x4 / x2

x2

100

(x3)2

x6

100

The power of a variable when no exponent is written "x"

1

100

Mr. Brown's Age

40

200

3* 33

310

200

28 / 27

2

200

(82)4

88

200

60

1

200
Names of Mr. Brown's daughters

Ruth and Roxanne

300

a3b* a5b4

a8b9

300

x2y3 / x2y2

y

300

((x+1)3)4

(x+1)12

300

Write x-3 using only positive exponents

1/x3
300

Mr. Shanes' College

Worcester Polytechnic Institute (WPI)

400

6c5d* 2cd

12c6d3

400
z/ z4

1/z

400

(ab2)3

a3b6

400

When multiplying two of the same base do you add or subtract exponents?

add

400

Mr. Shanes' Major

Computer Science

500

2x2y3 * 22xy3 * 24x3y

27x6y7

500

a10b10 / a5b15

a5 / b5

500

(a2b3c4)5

a10b15c20

500

When dividing two variables with the same base do you add or subtract exponents?

subtract

500

Mr. Brown's favorite color

Brown

M
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