Grade Scale

Test 1 Results:• Average class score after partial credit: XX.X%

• 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.

Grade A A- B+ B B- C+ C C- F

Points ≥ 925 ≥ 900 ≥ 875 ≥ 825 ≥ 800 ≥ 775 ≥ 725 ≥ 700 < 700

% Score ≥ 92.5 ≥ 90 ≥ 87.5 ≥ 82.5 ≥ 80 ≥ 77.5 ≥ 72.5 ≥70 < 70

The Home Stretch:Final topic: 5 sections from Chapter 5 on exponents and polynomialsNext quiz: Quiz 3 on sections 5.1-5.4 and 5.6Last 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.

• Wednesdays– 10:10 am– 11:15 am

• Thursdays– 10:10 am– 11:15 pm

Gateway Quiz Retake Times(One new attempt allowed per week, beginning November 2)

SIGN UP IN THE MATH TLC OPEN LAB!If NONE of the above times work for you…

email Krystle Mayer, Math TLC Coordinator (JHSW 201), to set up a date and time.

• Mondays– 1:25 pm– 2:30 pm

• Tuesdays– 1:25 pm– 3:35 pm

Please

CLOSE

YOUR LAPTOPS,and turn off and put away your

cell phones,

and get out your note-taking materials.

Section 5.1: Working with Exponents

• Exponents that are 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.

Evaluate each of the following expressions.

Example

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 from today’s homework:

Example from today’s homework:

Evaluate the following expressions.Find 3x2 when x = 5.

Example

Find -2x2 when x = -1.

3x2 = 3(5)2 = 3(5 • 5) = 3 • 25

-2x2 = -2(-1)2 = -2(-1 • -1) = -2(1)

= 75

= -2

Example from today’s homework:

Product Rule (applies to common bases only)am • an = am+n

Simplify each of the following expressions.

Example

32 • 34 = 36 = 3 • 3 • 3 • 3 • 3 • 3 = 729

x4 • x5 = x4+5

z3 • z2 • z5 = z3+2+5

(3y2)(-4y4) = 3 • y2 • -4 • y4 = (3 • -4)(y2 • y4) = -12y6

= 32+4

= x9

= z10

Example from today’s homework:

Power Rule(am)n = amn

Example

Simplify each of the following expressions.

(23)3 = 29 = 512

(x4)2 = x8

= 23•3

= x4•2

Example from today’s homework:

Power of a Product Rule(ab)n = an • bn

Simplify (5x2y)3

Example

= 53 • (x2)3 • y3 = 125x6 y3

Example from today’s homework:

Power of a Quotient Rule

0

b

b

a

b

an

nn

Example

Simplify the following expression.4

3

2

3

r

p 43

42

3r

p

434

42

3 r

p

(Power of product rule in this step)

12

8

81r

p

(Power rule in this step)

Example from today’s homework:

Quotient Rule (applies to common bases only)

0

a

aa

a nmn

m

Example

2

74

3

9

ab

ba533 ba

Simplify the following expression.

))((3 2714 ba

2

74

3

9

b

b

a

a

Group common bases together

Example from today’s homework:

Zero exponenta0 = 1, a 0

Note: 00 is undefined.

Simplify each of the following expressions.

50

Example

= 1(xyz3)0 = x0 • y0 • (z3)0 = 1 • 1 • 1 = 1

-x0 = -(x0) = -1

Example from today’s homework:

Example from today’s homework:

01

Now simplify 2

Answer = 1

• Wednesdays– 10:10 am– 11:15 am

• Thursdays– 10:10 am– 11:15 pm

Gateway Quiz Retake Times(One new attempt allowed per week, beginning November 2)

SIGN UP IN THE MATH TLC OPEN LAB!If NONE of the above times work for you…

email Krystle Mayer, Math TLC Coordinator (JHSW 201), to set up a date and time.

• Mondays– 1:25 pm– 2:30 pm

• Tuesdays– 1:25 pm– 3:35 pm

You may now OPEN

your LAPTOPSand begin working on the

homework assignment.