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- Test 1 Results:
- Average class score after partial credit: __________
- Commonly missed questions: #_________________

All of this material will be tested again on the

final exam, so please make sure you go over the problems you missed with a teacher or TA.

- Final topic: 5 sections from Chapter 5 on exponents and polynomials
- Next quiz: Quiz 3 on sections 5.1-5.4 and 5.6
- Last two classes: Two in-class review sessions for the final, with two 25-point review homework assignments.
- Final Exam: Comprehensive, 200 points, during evaluation week.
- Check your syllabus to find the date and time of the final exam for this section.
- If you haven’t passed the Gateway yet, make sure you take it this week.

- Mondays
- 10:10 am
- 12:20 pm

- Tuesdays
- 1:25 pm
- 3:35 pm

- Wednesdays
- 9:05 am
- 11:15 am

- Thursdays
- 10:10 am
- 2:30 pm

SIGN UP IN THE MATH TLC OPEN LAB!

If NONE of the above times work for you…

email Krystle Mayer or Shing Lee, Math TLC Coordinators (JHSW 201), to set up a date and time.

Please

CLOSE

YOUR LAPTOPS,

and turn off and put away your cell phones,

and get out your note-taking materials.

- Exponents thatare natural numbers are shorthand notation for repeating factors.
- 34 = 3 • 3 • 3 • 3
- 3 is the base
- 4 is the exponent (also called power)

- Note, by the order of operations, exponents are calculated before all other operations, except parentheses.

Example

Evaluate each of the following expressions.

34

= 3 • 3 • 3 • 3

= 81

(-5)2

= (-5)(-5)

= 25

-62

= -(6)(6)

= -36

(2 • 4)3

= (2 • 4)(2 • 4)(2 • 4)

= 8 • 8 • 8

= 512

3 • 42

= 3 • 4 • 4

= 48

Example

Evaluate the following expressions.

Find 3x2 when x = 5.

3x2 = 3(5)2

= 3(5 • 5)

= 3 • 25

= 75

Find -2x2 when x = -1.

-2x2 = -2(-1)2

= -2(-1 • -1)

= -2(1)

= -2

Example

Product Rule (applies to common bases only)

am• an = am+n

Simplify each of the following expressions.

32 • 34

= 32+4

= 3 • 3 • 3 • 3 • 3 • 3

= 729

= 36

x4 • x5

= x4+5

= x9

z3 • z2 • z5

= z3+2+5

= z10

(3y2)(-4y4)

= 3 • y2 • -4 • y4

= (3 • -4)(y2 • y4)

= -12y6

Example

Power Rule

(am)n = amn

Simplify each of the following expressions.

(23)3

= 23•3

= 29

= 512

(x4)2

= x4•2

= x8

Example

Power of a Product Rule

(ab)n = an• bn

Simplify (5x2y)3

= 53 • (x2)3 • y3

= 125x6 y3

Example

(Power of product rule in this step)

(Power rule in this step)

Power of a Quotient Rule

Simplify the following expression.

Example

Group common bases together

Quotient Rule (applies to common bases only)

Simplify the following expression.

Example

Zero exponent

a0 = 1, a 0

Note: 00 is undefined.

Simplify each of the following expressions.

50

= 1

(xyz3)0

= x0• y0 • (z3)0

= 1 • 1 • 1 = 1

-x0

= -(x0)

= -1

Answer = 1

- Mondays
- 10:10 am
- 12:20 pm

- Tuesdays
- 1:25 pm
- 3:35 pm

- Wednesdays
- 9:05 am
- 11:15 am

- Thursdays
- 10:10 am
- 2:30 pm

SIGN UP IN THE MATH TLC OPEN LAB!

If NONE of the above times work for you…

email Krystle Mayer or Shing Lee, Math TLC Coordinators (JHSW 201), to set up a date and time.

You may now

OPEN

your LAPTOPS

and begin working on the homework assignment.