discussion

In this discussion, you will simplify and compare equivalent expressions written both in radical form and with rational (fractional) exponents. Read the following instructions in order and view the MAT

2 22

Week

3

Discussion Example Download MAT222 Week 3 Discussion Example to complete this discussion. Please complete the following problems according to your assigned number. (Instructors will assign each student their number.)

5 – 577, do the following problem

–

5, do the following problem

1

2

2

0

4

3

6

4

8

5

10

6

7

8

10

22

12

1

2

16

1

8

58

2028

4042

2

2

23

2

448

2662

26

2

256

58

3046

62

325264

66

343868

70

364472

74

385076

8478

405480

2082

421884431086441488

1290

If your assigned number is	On pages Save Time On Research and Writing Hire a Pro to Write You a 100% Plagiarism-Free Paper. Get My Paper	5	7	On pages 5		8		4		58
1				10
		6
104
		62
102
	64			12
	72			14
	70		16
9		74			18
	68			20
11		76
	66		24
13	100			26
		42			28
15	98		30
	48			32
17		56			34
	88		36
19			38
		40
21
23			44
	86		46
43
25		82		50
	52
27		54
	84
29	96
60
31	94
33		90
35		78
37		80
39
41
45

INSTRUCTOR GUIDANCE EXAMPLE: Week Three Discussion
Simplifying Radicals
1. Simplify each expression using the rules of exponents and explain the steps you
are taking.
2. Next, write each expression in the equivalent radical form and demonstrate how it
can be simplified in that form, if possible.
3. Which form do you think works better for the simplification process and why?
#51. (2-4)1/2
2
(-4*1/2)
2-2
1
22
The exponent working on an exponent calls for the Power Rule.
The exponents multiply each other.
-4*1/2 = -2 so the new exponent is -2.
The negative exponent makes a reciprocal of base number and
exponent.
The final simplified answer is ¼. This is the principal root of the
square root of 2-4.
1
4
1
 81x 12  4
#63.  20 
 y 
 4 14 12 14 
3 x 


1
 y 20 4 


3x 3
y5
The Power Rule will be used again with the outside exponent
multiplying both the inner exponents. 81 = 34
4*1/4 = 1, 12*1/4 = 3, and 20*1/4 = 5
All inner exponents were multiples of 4 so no rational exponents are left.
2
 8 3
#89.   
 27 
First rewrite each number as a prime to a power.
2
 23  3
  3 
 3 
Use the Power Rule to multiply the inner exponents.
The negative has to be dealt with somewhere so I will put it with
the 2 in the numerator.
 23 3
2
3
3
2
3
3*2/3 = 2 in both numerator and denominator.
 22  4
32
9
The squaring eliminates the negative for the answer.
It turns out that the examples I chose to work out here didn’t use all of the vocabulary
words and required one which wasn’t on the list. Students should be sure to use words
appropriate to the examples they work on.