Download Properties of Exponents Worksheet Name

Algebra 1:
Simplifying Exponential Expressions Remediation Assignment
Rewrite – using positive exponents only.
1. 42  4 4
3
4.  
7
3
2.
52 
3.
52
55
5.
22
29
6.
 9   9 
3
Simplify the expression – using positive exponents only.
x 
5 2
7. a 6  a 3
8.
x8
10.
x6
x5
11.
x8
 4a 3 
13.  4 
 2b 
2
14.
x 11y 10
16.
x 3y 1
19.
x5
x 2
22.
10x 5y 3 
2x 2y
25.
6xy 1
9.
2 5
17. 3x y
4
3
 4a b 
3 5
2
x6
12.
x6
2 x 
3
3
15.
0
x
4
y7
5x 3y 9
18.
20x 2y 2
20.
x 5y 2
x 4y 0
21.
x 
23.
x 1 y
xy 2
24.
 4x
xy 9 7 y

26.
3y 2 21x 5
3
3 0
2
y5
2
12xy 7x 5 y 2

27.
7x 4
4y
Algebra 1:
Simplifying Exponential Expressions Remediation Assignment
Properties of Exponents
Let a and b be real numbers and let m and n be
integers.
a m  a n  a m n
Product of Powers Property
Power of a Power Property
a 
 a mn
Power of a Product Property
ab 
 a mb m
Negative Exponent Property
a m 
1
am
Zero Exponent Property
a0  1
Quotient of Powers Property
Power of a Quotient Property
m n
m
am
 a m n
n
a
m
m
a   a
 
bm
b 
a 0
a 0
a 0
b0