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CC Math I Standards: Unit 2
EXPONENTS (POWERS)
I.
INTRODUCTION (Review) of EXPONENTS
EXPONENT:
How many times something will be multiplied by itself
Examples:
54 =
x3 =
Exponent:
Exponent:
Base:
Base:
BASE:
The variable or number that will be multiplied
PERFECT SQUARE is the product of a number and itself. (Special Exponent)
1=
II.
4=
9=
16 =
25 =
36 =
49 =
64 =
81 =
100 =
MULTIPLICATION EXPRESSIONS AS EXPONENTS
Write each of the following expressions using exponents
76677766
1) 2  2  2  2
4) (6)(6)(6)(-5)(-5)
7)
2) m  m  m  m  m
5) (-1)(-1)(-1)(-1)(3)(3)(3)
8) x  y  x  y  x
3) 7
6)
III.
8 8 8 8 8 r  r  r
9) (a )( 4)( b)( 4)( a )( 4)( b)
EXPONENT EXPRESSIONS AS MULTIPLICATIONS
Write each exponent as a multiplication
2
10) 10
11)
3
12) 6 z
y6
4 3
14) 10 x y
4
3
13) 5a b
2
3 2
15) (3) 4
Be Careful!!!
16) 2  5
3
17) ( 2  5)
18) ( 3 x )
3
19) 3x
4
4
20) ab
2
21) (ab)
2
IV. EVALUATIONS WITH EXPONENTS (PEMDAS)
3
2
22) 4m if m = 2
24)  5( m  n) if m = 4 and n = 2
2
23) 3 x  y if x = - 2 and y = - 3
2
3
25) a  (a  b) if a = 5 and b = 2
CC Math I Standards: Unit 2
MULTIPLICATION (PRODUCT) of POWERS (combine like terms for exponents)
 SAME (like)BASES
 ADD EXPONENTS with like base
 MULTIPLY COEFFICENTS
I.
EXAMPLES
 
  
3
2
1) 2  2
5
2) 6 6
4
4) 3 x  7 x
4
4 2
5) qp p q
II.
PRACTICE
3
8
1) 4  4
2) x 7  x 2
4
3) 3  3
2
4) (4 y )( 3 y )
5
2 7
5) 9 s t  s t
3 2
2 4
6) (a b )( a b )
2
7) (3 x )(5 x )
5
2 5
8)  7r  6r s
2 3
5 3
9) (8 xy z )( 11zx y )
 
4
4
3) z 5z

6 2
3
6) a b  ac
CC Math I Standards: Unit 2
DIVISION (QUOTIENT) of POWERS (combine like terms for exponents)
 SAME (like)BASES
 SUBTRACT EXPONENTS: Large Power – Small Power put answer in location of large power
 DIVIDE COEFFICENTS(reduce fractions)
I.
EXAMPLES
5
2
z4
r4
1) 2
3) 6
2)
2
z
r
 14ab 5
5)
2a 3 b 4
15r 7 s 5
6)
21s 9 r 4
4
1) 2
4
y7
2) 2
y
x3z5
3) 2 3
z x
8x6
4)
4x4
a 4b 3
5)
ab 2
30 x 4 y 2
6)
35 xy 2
8r 3 s 5
7)
2s 2 r 4
 30q 5 p 2
8)
10q 7 p 9
10m 4 n 3
9)
5m 4 n 2
3x8
4)
6x3
II.
PRACTICE
4
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