Algebra 1
Exponents and Radicals
Name___________________________
Chapter 8 Practice Test
Complete each of the following rules:
1) Rule: Quotient of Powers
Words: When dividing two powers with the same base, we keep the base and
am
__________ the exponents
Algebra: n  __________
a
2) Rule: Product of Powers
Words: When multiplying two powers with the same base, we keep the base and
Algebra: a m  a n  __________
__________ the exponents
3) Rule: Power of a Power
Words: When raising a power to a power, we keep the base and ______________ the exponents
Algebra:  a m   __________
n
#4-13 Simplify the expression. Write your answer using exponents.
4) n 6  n 2  n
8) (4d ) 2
c
12)  
d 
5) (4)3  (4)8
9) (mn 2 )3
9
Algebra 1
Exponents and Radicals
6)
x 
10)
x9
x2
2 9
 7
13)   
 3
Page 1
7) (m  1)5 
11)
7
3  98
92
5
Chapter 8 Practice Test
3/8/2016
Simplify the expression.
14) (8k )
2
15)
 5a b 
2
3
16)
z 
6 3
18) (2)
0
19)
 6
 
 w
 2a 
20)  3 
b 
z4
2
n
17)  
2
3
4
Evaluate the expression.
21)
4
3
7
22)  
4
2
23)
1
8 2
24)  3 2 
2
25) 5 10 58
Simplify the expression. Write your answer using only positive exponents.
26)
c 6
Algebra 1
Exponents and Radicals
27) m5n 7
28) 8a 3b 5
Page 2
29)
 4d 
2
30)
 6x y 
5
3 2
Chapter 8 Practice Test
3/8/2016
Algebra 1
Name___________________________
Chapter 8 Practice Test
#31-36 Simplify.
31) 18
34)
5x2  20 x
32)
80
33) 75xy 3
35)
6
n
36)
5x
12
#37-38 Let a and b represent the lengths of the legs of a right triangle, and let c represent the
length of the hypotenuse. Find the unknown length. Leave your answer in simplest radical form.
37) a  2, b  8
38) b  7, c  9
#39-40 The measures of the sides of a triangle are given. Determine whether the triangle is a right
triangle or not.
40) 9, 12, 15
39) 5, 9, 11
Algebra 1
Exponents and Radicals
Page 3
Chapter 8 Practice Test
3/8/2016
#41-46 Evaluate.
41)
3
64
42)
45)
3
64  64
46)
3
125
3
1  1
43)
3 8
44)  3 27
#47-53 Evaluate.
47) 100 1
51) 25 3
2
2
48) 81 1
2
49) 27 1
52) 8 2
3
53)
3
 8 
50)
84
3
2 3
#54-55 Find the unknown length.
54)
7
A
55)
C
C
x
8
x
B
17
A
B
Algebra 1
Exponents and Radicals
8
Page 4
Chapter 8 Practice Test
3/8/2016