~ Section 7.4 ~ Division Properties of Exponents Packet

~ Section 7.4 ~ Division Properties

of Exponents Packet

TLW Use division properties of exponents to evaluate and simplify expressions. TLW use division properties of exponents to evaluate and simplify expressions TLW pet the dog on the head and tell him he `is a good dog'.

Warm ups... Change each number into scientific notation.

1. 524, 000, 000, 000

2. 0.00000000214

3. 43.6

A quotient of powers with the same base can be found by writing the powers in a factored form and dividing out common factors.

Notice the relationship between the exponents in the original quotient and the exponent in the final answer:

5 ? 3 2.

In examples A and B, show the

answers by writing out the factors in the numerator and denominator to show the factors cancelling out.

Guided Practice Simplify each expression. Use only positive exponents.

37 1. 34

___________

56 2. 59

___________

a6 3. a14

___________

c14 4. c5

___________

n2 5. m3n

___________

x12 6. x9 y4

___________

x3 y24 7. y5

___________

210 8. 211

___________

9.

3 3 5

___________

10.

2 3 3

___________

11.

1 4 5

___________

12.

4 2 7

___________

13.

2 2 9

___________

a15b3 14. a12

___________

15.

4 3 x3

___________

x3 2

16.

y7

___________

!@# $ 0

17.

2

___________

a2b3 18. a4b7

___________

x30 y12 19. x20

___________

xyz

20.

xyz

___________

x4 2

21.

y5

___________

a3b5 22. a11

___________

436

23. jan drew0

___________

abcd

24.

abcd

___________

x35 y10 25. x20 y4

___________

26.

3 3 4

___________

x3 0

27.

y5

___________

Name: _____________________________________ Division Properties of Exponents WS (1)

Date: ______________________

SIMPLIFY EACH EXPRESSION. USE ONLY POSITIVE EXPONENTS.

Period: _________ Red Shoes

77 1. 75

___________

54 33 2. 56 32

___________

a 26 3. a11

___________

c24 4. c15

___________

220 5. 217

___________

x20 6. x19 y4

___________

x13 y2 7. y5

___________

414 8. 415

___________

9.

2 3 5

___________

10.

3 3 2

___________

13.

4 2 9

___________

11.

1 4 5

a14b30 14. a19

___________ ___________

12.

3 2 7

___________

15.

5 3 x4

___________

x3

20

16.

y7

___________

18 !@# $ 0

17.

2

___________

a12b3 18. a4b17

___________

jorts0

19.

___________

8

xyz0

20.

xyz

___________

x10 2

21.

y5

___________

Name: _____________________________________ Division Exponents WS (2)

Date: ___________________

SIMPLIFY EACH EXPRESSION. USE ONLY POSITIVE EXPONENTS.

Period: _________ Brown Sweater

1.

1

2

7

__________

64 23 2. 65 22

__________

b6

2

3.

a11

__________

a2b12

0

4.

a34b13

__________

n2 5. m3n5

__________

xy 3 z 4 6. x9 y4

__________

2x7 y4 0

7. 36x2 y3

__________

10019 8. 10018

__________

9.

1 5 2

__________

10.

4

2

11

__________

3x2 2

11. 18x2

__________

12.

12

2

x3

__________

x8

y12

2

13.

y7

__________

x3 y4z7 14. x3 y7 z2

__________

a2b3 15. a4b7

__________

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