# Grade Scale - PowerPoint PPT Presentation

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Test 1 Results: Average class score after partial credit: __________ Commonly missed questions : #_________________. Grade Scale. 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. The Home Stretch:.

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#### Presentation Transcript

• 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.

### The Home Stretch:

• 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.

### Gateway Quiz Retake Times(One new attempt allowed per week, and just 6weeks left!)

• 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

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.

CLOSE

and turn off and put away your cell phones,

and get out your note-taking materials.

### Section 5.1: Working with Exponents

• 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 from today’s homework:

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 from today’s homework:

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 from today’s homework:

Example

Power Rule

(am)n = amn

Simplify each of the following expressions.

(23)3

= 23•3

= 29

= 512

(x4)2

= x4•2

= x8

### Example from today’s homework:

Example

Power of a Product Rule

(ab)n = an• bn

Simplify (5x2y)3

= 53 • (x2)3 • y3

= 125x6 y3

### Example from today’s homework:

Example

(Power of product rule in this step)

(Power rule in this step)

Power of a Quotient Rule

Simplify the following expression.

### Example from today’s homework:

Example

Group common bases together

Quotient Rule (applies to common bases only)

Simplify the following expression.

### Example from today’s homework:

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

• 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