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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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grade scale

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
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 6 weeks left
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
    • 10:10 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.

slide4

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
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.
slide6

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

slide9

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

slide11

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

slide13

Example

Power Rule

(am)n = amn

Simplify each of the following expressions.

(23)3

= 23•3

= 29

= 512

(x4)2

= x4•2

= x8

slide15

Example

Power of a Product Rule

(ab)n = an• bn

Simplify (5x2y)3

= 53 • (x2)3 • y3

= 125x6 y3

slide17

Example

(Power of product rule in this step)

(Power rule in this step)

Power of a Quotient Rule

Simplify the following expression.

slide19

Example

Group common bases together

Quotient Rule (applies to common bases only)

Simplify the following expression.

slide21

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

gateway quiz retake times one new attempt allowed per week and just 5 weeks left
Gateway Quiz Retake Times(One new attempt allowed per week, and just 5 weeks 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

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.

slide25

You may now

OPEN

your LAPTOPS

and begin working on the homework assignment.