Honors Algebra 2
Name:_______________________
Properties of Exponents Worksheet
Simplify each expression using only positive exponents. Assume that no variable that appears in the
denominator or with negative exponents is zero.
1.
 7u 5u 
4.
9z w  5z
2
6
8
8
3

7.  d 3e5 
4

10.
6
w11 
2
 v w   v
8 3
7
 7v  6v 
3.  2 x 4 y 7  3x 1 y 5 
5.
5
6.
 3 p q   4 p
1

8.  a 2b3   a 5b 10 
2

9.
 6x y  x
11.  u 6 
12.
9
3
3
a 2b1  25a6b4 
9
w6 
4
 f 5 g 3 
14.  5 
 g

2
4
u 
3 8
 a 2b 1 
18.   3 3 
 3a b 
15.
4
19.
d
4r 7 s 10
 x  y
1
 x  y
 e1   d  e 
22.
24.
b
25. 2  4k  4k 

9
 ab 
7
16.
2
 z  w  w1  z 1 
b
 2r s 
8
3 3 5
2
21.
2 p 2 p 2
4
4
c 4 d 5
13.
c3d
 3u 4 v3 
17.  5 
 2u v 
2.
1
1
3 2
2
3 2 4
25 x 5 y 3
5x y 
2
3
a m 1
a m 1
26. 5  5e1 
e 1
q7 
y 3 
a b 
a 1  b 1
20. 1 1
a b
23.
5
3