Name _______________________________________ Date ___________________ Class __________________
Review for Mastery
Integer Exponents
Remember that 23 means 2  2  2  8. The base is 2, the exponent is positive 3.
Exponents can also be 0 or negative.
Zero Exponents
Negative Exponents
Negative Exponents
in the Denominator
For any nonzero For any nonzero number x For any nonzero number
1
number x,
x and any integer n,
and any integer n, xn  n .
1
x0  1.
x
 xn.
n
x
Definition
0
Examples
6 1
0
 1
2  1
 
53 
1
53
24 
1
 82
2
8
1
24
1
 24
4
2
00 and 0n are undefined.
Simplify 42.
42
Simplify x2y3z0.
x2y3z0
1
42
x 2 z0
y3
Write without negative exponents.
Write without negative
exponents.
2
1
4 4
Write in expanded form.
x (1)
y3
z0  1.
1
16
Simplify.
x2
y3
Simplify.
Fill in the blanks to simplify each expression.
1. 25
2. 103
1
25 
3.
103 
2
1

25
1
1

103
 ____________
1
10
1
 ____________
1
5 4
1
5
5 4
5

 ____________
Simplify.
4. 5y 4 _____________
5.
8
a 3
_____________
6. 9 x 3 y 2 ____________
x3
x 1y _____________
8.
b2
a 1b3 _____________
9. 5 x 4 y 2 _____________
7.
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 1
Name _______________________________________ Date ___________________ Class __________________
Review for Mastery
Integer Exponents continued
Evaluate a3b4 for a  5 and b  2.
a3b4
(53)(24)
24
53
16
125
Substitute.
Write without negative exponents.
Simplify.
When evaluating, it is important to determine whether the negative is raised to the power.
Evaluate x2 for x  10.
The negative is not raised
to the power.
x2
102


1
102
1
10 10

1
100
Evaluate (x)2 for x  10.
The negative is raised to
the power.
(x)2
Substitute.
Write without negative
exponents
Write in expanded form.
Simplify.
(10)2
1
( 10)2
1
( 10) ( 10)
1
100
Substitute.
Write without negative
exponents
Write in expanded form.
Simplify.
Evaluate each expression for the given value(s) of the variable(s).
10. x2y0 for x  2 and y  5
________________________________________
3
12.
z
for z  2 and y  5
y 2
________________________________________
14.
n 2
for m  6 and n  2
m 4
________________________________________
11. a3b3 for a  4 and b  2
________________________________________
13. a3b4 for a  2 and b  1
________________________________________
15. (u)2v6 for u  2 and v  2
________________________________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 1
Review for Mastery
1
1. 5; 2•2•2•2•2;
32
2. 10•10•10;
3. 4; 4; 5•5•5•5; 625
4.
5
y4
5. 8a 3
6.
9x 3
y2
7.
x4
y
8.
a
b
9.
5y 2
x4
10. 4
11. 512
12. 200
13. 8
14. 324
15.
1
1000
1
16
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 1