Notes – Exponents & Perfect Squares
Name: ________________________ E#_____
EXPONENTS  Mathematical operation that causes _______________ multiplication.
BASE  The number or variable that is being
EXPONENT  Tells you how many ________
_________________ repeatedly.
to write down the _________ as the factor.
Exponential Form
Expanded Form
2  “________________”
Simplified/Standard Form
3  “________________”
Anything to the 0 power is ______________
43 =
64 =
25 =
PERFECT SQUARE  a number that result from multiplying any whole number by itself.
Example: 9 is a perfect square because you can multiply ____ by ____ to get it.
PERFECT SQUARES TO MEMORIZE
2
1 =
2
2 =
32 =
42 =
52 =
62 =
72 =
82 =
92 =
102 =
112 =
122 =
132 =
142 =
152 =
CAN YOU GUESS THE PATTERN WITH BASE 10?
If 10 is the base, look at the following:
101 = 10
102 = _________
103 = 1,000
104 = _________
105 = _________
If 10 is the base here’s how to find the answer:
 Write a 1
 Look at the ______________
 The exponent tells you how many
_________ to write after the one.
Homework: Exponents & Perfect Squares
Write each expression in expanded form and then evaluate. CIRCLE THE PERFECT SQUARES.
1) 72 =
2) 19
3) 42 =
4) 23 =
5) 43 =
6) 34 =
7) 22 =
8) 33 =
9) 104 =
10) 480 =
11) 162 =
12) 113 =
13) b0 =
14) 24 + 63 =
15) 53 – 23 =
16) 160 + 81 + 72 =
Write each product using exponents. DO NOT SOLVE.
17) 8  8  8  8  8 =
18) 15  15  15  15 =
19) b  b  b =
Compare using >, <, or =
21)
26 _______ 82
22)
3
15 _______ 16
3
20) n  n =
23)
240 _______ 750
24) Write the first 15 perfect squares:
____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____
25) Three students were asked to evaluate 25. Their answers are below.
Michelle:
David:
Cameron:
5
5
2 = 2 + 2 + 2 + 2 + 2 = 10
2 = 2∙ 5
25 = 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2 = 32
Which student is correct? Explain why that student is correct?
What did the other students do wrong?