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HW – Exponent Worksheet
www.westex.org HS, Teacher Website
11-11-14
Warm up—Algebra 2
1. What does 23 mean?
Evaluate
2. 22
3. 24
4. 22  23
There are TOO many rules to memorize right away, it’s overwhelming
if you try. If you get stuck think of a similar problem that is simple
to do using NUMBERS so you can REDISCOVER what the rule is.
After doing this enough times you NATURALLY start to memorize
the rules.
GOAL:
I will be able to:
1. evaluate expressions involving exponents.
HW – Exponent Worksheet
www.westex.org
HS, Teacher Website
Name ______________________
ALG 2 CPA
Date _______
5.1 Use Properties of Exponents
GOAL:
I will be able to:
1. simplify expressions involving exponents.
Recall:
Definition of an exponent: a4 = a  a  a  a where a is called the _____________ and 4 is
called the _______________. Power is the result when a base is raised to an exponent.
Write in expanded form.
a) 36
b) (2x)3
c) 2x3
Rule for Multiplying Powers:
 When you multiply powers with the same base, you ____________ the exponents.
am  an = _________
think22  23 = __________________
1) n4  n3  n2 =
2) (x3y2)(x2y3) =
3) (2abc)(a2b3c4) =
Rule for Dividing Powers:
 When you divide powers with similar bases, you ____________ the exponents.
25
am
=
_________
think
= _____________________
23
an
4x 8
4)
=
2x 6
x 2y
5)
=
xy 2
x 6y 8z 13
6)
=
x 4 y 3z 10
Rule for Negative Exponents:
 When you have a negative exponent, rewrite your expression as a ____________.
a m = ______
think2-3 = _____________________
7) x 2 =
10)
x3
=
x5
8) x 7 =
11)
xy 3z
x 4 yz
9)
=
xy 3
=
y7
12)
x 2y 8z 3
=
x 4 y 9z
Rule for the Power of Zero:
 Anything raised to the power of zero equals ____________.
a 0 = _______
think20 = _____________________
13) x 0 =
14) (xyz )0 =
15) 2x 0 
16) (2x )0 
Rule for Raising a Power to a Power:
 When you raise a power to a power, you ____________ the exponents.
(am)n = _________
think(23)2 = ____________________
17) (a4)5 =
18) (x2)3(x4)2 =
19) 2(a3)5  5(a2)3 =
Rule for Products or Quotients Raised to a Power:
 When a product or quotient is raised to a power, make sure you
__________________ the exponent to EVERYTHING in the parenthesis.
(ab)n = ____________ think(x1y1)3 = ___________________
20) (2a2b3)4 =
21) (-3r6t4)3 =
22) ( 12 x3y)4 =
23) (3a2)2  (-2a3)3 =
24) (-3)2 =
25) -32 =
Practice
Simplify. Use only POSITIVE exponents in your
final answer!
 y
1. 3 x 

 3 
 
2
2.
6

4.  2 x 2 y 5 z 6

5
5 x y 
3
4 2
250 x 3 y 2
 4 x 3 y 4  6 x 4 y 6 

3.  3 
4 
 x y  3xy 
  4 xy4 
5.  3 6 
 5x y 
2