P e- ebrExponentsHomework

Name _Teacher _Period _

Exponents HW Day 1- Multiplying with Exponents

Name Date Class _

m-!,raEtice A . _. Properties of Exponents

Multiply. Write the product as one power.

1. 22 • 23 2. 35 • 32 3. 13I!I 15

5. 81 • 81

HI Practice B .=Properties of ExponentsMultiply. Write the product as one power.1. 105 • 107 2. x9 • x8 3. 147 • 149

7. (-11)20 & (-11)10 8. (_a)6 • (_a)7

Write the expression for a numberused as a factor fifteen times beingmultiplied by a number used as afactor ten times. Then, write theproduct as one power.

l!i~Practice A, Properties of Exponents

Simplify.

17. (32)4

m Practice B, ', Properties of Exponents

Simplify.

17. (62)4

25. The Haywood Paper Company has 52 warehouses. Eachwarehouse holds 55 boxes of paper. How many boxes of paperare stored in all the warehouses? Write the answer as onepower.

Exponent HW Day 2 - Dividing ExponentsName Period _

m:;:;~tie:!,Exponents------------------------Divide. Write the quotient as one power.

25 . 104 469'2 10'-3 11'3

2 10 412. (_3)6

( _3)4

5813'6

5~15. (_6)5

~SSOIPractice B·L Properties of Exponents

Divide. Write the quotient as one power.129 (_11)12 x10

9. -2 10. 8 11. -512 (-11) x

161012. -2-

16

171913.-2-

171415

14'1"314

231715. --9

23(-8) 12

16. 7(-a)

HI Practice C, Properties of Exponents

Write the product or quotient as one power.

1. x 10 • x8 2. (_10)14 • (-10)4 3. dd5

(_X)106. 8

(-x)

9. (- k) 12 -7- (- k)9 1O. 15 • 1511 11.1710 • 17

Write the expression for 5 used as a factor eight times beingdivided by 5 used as a factor six times. Simplify the expressionas one power.

4. 910 -7- 92

HW Day 3 - Zero and Negative Exponents / Review

Name Period _

Simplify.

13. (53)4

Write as one power.

21.x3• X2. X4 23.84• 8

27. Justine and ninety-nine of her co-workers won the lottery worth$108. They all received their winnings over ten years. How muchdid each receive in a one-year period?

28. A number to the 7th power divided by the same number to the3rd power equals 256. What is the number?

4335 - 1 - Page 1

Name:

_1) The approxiroote number of seconds_6)

824-

in a year is 32,000,000. When this 84number is written in scientific A) 16 C) 120notation, what is the numerical value B) 820 D) 86of the exponent?

A) -7 C) 6B) 7 D) 8 515

_7) -53A) 518 C) 512

_2) What is the value of 2-3? B) 55 D) 15

C) 1A) -8 -

6

B) 1 D) -6 _8) (52)3-

8 A) 56 C) 103

B) 106 D) 55

Questions 3 through 10 refer to the followi ng:

_9) (32)3Simplify the given expression: A) 35 C) 36

B) 63 D) 66

_3) 45 x 46

A) 411 C) 1611 (24)2B) 1630 D) 430 _10) (23)2

A) 23 C) 214B) 21 D) 22

_4) 33 x 37 x 36

A) 2716 C) 3126

B) 316 D) 27126 Questions 11through 15 refer to the followi ng:

53 x 52 x 54Evaluate the given expression:

_5)A) 159 C) 524

B) 1524 D) 59 _11) (-3)2

A) -9 C) 9B) -6 D) 6

4335 - 1- Page2_12) -33

_14)44 x 4-2

1 42A) -81 C) -

27 1A) 1 C) -

1 16B) - D) -27

27 B) 4 D) 256

_13) -53 5-2 x 53A) -125 C) -75

_15) 55 x 5-2

B) -15 D) 125A) 25 C) !

51

B) 25 D) 5

Name Date Class------------------------------ -------- ---------

~ Practice Ii~ Scientific NotationWrite each number in standard notation.

1.2.54 x 102 2.6.7 X 10-2 3.1.14 X 103 4.3.8 X 10-1

5. 7.53 x 10-3 6.5.6 X 104 7. 9.1 x 105 8. 6.08 x 10-4

9.8.59 X 105 10. 3.331 x 106 11.7.21 x 10-3 12.5.88 x 10-4

Write each number in scientific notation.

13. 75,000,000 14.208 15.907,100

16.56 17.0.093 18.0.00006

19.0.00852 20.0.0505 21. 0.003007

22.5226 23.0.04 24.98,856

25. Jupiter is about 778,120,000 kilometers from the Sun. Write thisnumber in scientific notation.

26. The E. coli bacterium is about 5 x 10-7 meters wide. A hair isabout 1.7 x 10-5 meters wide. Which is wider, the bacterium orthe hair?

Copyright © by Holt, Rinehart and Winston.All rights reserved. 28 Holt Mathematics

Name --------_---- Date -- Class _

'--:-::-::-'==0 ReteachProperties of Exponents

To multiply powers To divide powers withwith the same base, the same base,keep the base and add keep the base andexponents. subtract exponents.xaoxb=xa+b xa-:-xb=xa-b

45.42 = 45 + 2 = 47

83 • 8 = 83 + 1 = 84

45 -:- 42 = 45 - 2 = 43

83 -:- 8 = 83-1 = 82

To raise a powerto a power,keep the base andmultiply exponents.(~)b = ~b(45)2 = 45(2) = 410

Complete to see why the rules for exponents work.

1. 45.42 = (_) (_) (_) (_)(_) ••(_)(_) = 4-

2. 83 • 8 = (_)(_) (_) • (_) = 8-5. 2 _ 45 _ <!,,-~.4 - 4 - 4 _ _

3.4 "7 4 - 42 - ~.lil - 4

3 83 -a. 8 e 84. 8 -:-8 = 8 = 'R = 8-5. (42)3 = 42 a 42" 42 = 42+2+2 = 42(3) = 4--

Complete to write each product or quotient as one power.

6. 123• 122= 123+2= 12- 7.94• 93 = 9-- = 9-

76 1268 - - 76-2 - 7- 9.- = 12-- = 12-. 72 - - 124

Write each product or quotient as one power.

10.104• 106 = --- 11. 55 • 5 = _ 12. 45 • 4.43 = ---

95

14'9=

Simplify.

16. (53)4 = 53(4) = _

Copyright@ by Holt, Rinehart and Winston.All rights reserved. 22 Holt Mathematics