Algebra I CP Study Guide
UNIT 4: Exponents
Name:
Determine if the following statements are TRUE or FALSE.
(1.)
7 8  87
(2.)
89  98
(3.)
67  7 6
(4.)
 4 
2
 4 2
Describe the parts of a power.
Use this power 6xy 3 to answer the questions below.
(5.)
How many powers are in the problem?
(6.)
What is the exponent for the x?
(7.)
What base does the 3 apply to?
(8.)
What is the math term for the 3?
Page 1 of 8
Algebra I CP Study Guide
UNIT 4: Exponents
Name:
Zero Exponent
x0  1
90
(9.)
(10.)
 5a bc d e 
5
7
3 5 0
Product of Powers or Multiplying powers with the same base
x a  xb  x a b
278  273  27 10
(11.)
(12.)
(5 x3 y)(6 xy 4 )
Quotient of Powers or Dividing powers with the same base
xa
 x a b
b
x
89
86
(13.)
(14.)
Power of a Power
x 
a b
(15.)
x
2
 
3
Page 2 of 8
3
ab
4 x8 y 5
8x4 y 2
Power of a Product
Power of a Quotient
 xy 
x
xa
   a
y
 y
b
x y
b
a
b
(16.)
 7x 
4
Algebra I CP Study Guide
UNIT 4: Exponents
(17.)
y 
Name:
3 4
(18.)
 7x 
 
 5 
3
Negative Exponents
xa 
(19.)
x 4
(21.)
5 2
1
xa
(20.)
1
x 9
(22.)
 7x 
(24.)
 7 xy 
3
Simplify using all exponent rules.
(23.)
 x y  xy 
Page 3 of 8
3
5 3
2 0
 1 
 3 
7 
Algebra I CP Study Guide
UNIT 4: Exponents
(25.)
7x 4 z 6
y 4 z 2
Name:
(26.)
5a 3b3 8a 2 c3
a 5b3 2b3c
Each problem has two errors – (a) circle the error (b) explain how to correct the error
(c) calculate the new answer
( x 5 x 4 )5
  x 5 4 
  x
(27.)
 65 
 3
6 
5
  65  3 
5
 x15
3
  68 
(28.)
3
 683
 x6
 65
 7776
Simplify
(29.)
2 3
Page 4 of 8
(30.)
4 2
3
Algebra I CP Study Guide
UNIT 4: Exponents
Name:
Convert to Scientific Notation
(31.)
0.00000024
(32.)
987, 000, 000, 000
(34.)
1.89 106
Convert to Standard Notation
(33.)
3.78 109
Multiply. Write your answer in scientific notation.
(35.)
 3 10  4 10 
9
3
(36.)
 2.5 10 
3 2
Divide. Write your answer in scientific notation.
(37.)
4.8 108
6 103
Page 5 of 8
(38.)
2.4 107
8 105
Algebra I CP Study Guide
UNIT 4: Exponents
Name:
Solve the following. Write your answer in scientific notation.
(39.)
Last year Fedex Air flew 20,000 times
with packages. Each flight weighed 600
tons. What was the total weight?
(40.)
Last year Fedex Air flew 20,000 times
with packages. Each flight profited
$13,500. What was the total profit?
Convert to radical format. Do NOT simplify.
n
(41.)
3
2401 4
a
m
a
m
n
1
5
(42.)
a
(44.)
100
Simplify.
(43.)
3
2401 4
Page 6 of 8
1
2
Algebra I CP Study Guide
UNIT 4: Exponents
Name:
REVIEW
(45.)
Julian goes bowling at Revolutions. It cost
(46.)
him $7.00 for shoes and $0.50 for each game.
Write an equation to determine total cost (y)
after number of bowling games (x).
(47.)
Olivia goes bowling at Playdrome Rose
Bowling. It cost him $3.00 for shoes and
$1.50 for each game.
Write an equation to determine total cost (y)
after number of bowling games (x).
Use the two equations from (46) and (47) to find the number of games Julian and Olivia need to play
to reach the same cost.
Page 7 of 8
Algebra I CP Study Guide
UNIT 4: Exponents
(48.)
Graph the two equations.
(49.)
At what points do the lines intersect in the
graph?
Page 8 of 8
Name:
(50.)
When will Julian’s cost be less than Olivia?
Explain your reasoning.