Download Lesson 2 Skills Practice ANS

PERIOD
DATE
NAME
lesson 2 Sk¡lls Practice
Powers and Exponents
Write each expression using exponents.
q\
1.2.2.2.2
2. 9.9 q
2
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3.7.7.5.5.5.5
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5
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4
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8
8
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6.s.6.s.s.6.6.s
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8.x.2.2'2.x'8
7
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w
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tc.y.w
9
z
v
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b
Evaluate each expression.
LL. 43
=
Gq
o
L2.25
18.(-8)s -
3Z
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t
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=
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16,
28
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n
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34
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6q
8ì -16=tos
ALGEBRA
19. (-3)3 +
18.6+26
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24.@-h)2+h2
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4
h3
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3
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(a +3)t +
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9.
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22. h4 -
nü
23. 93 + h2
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1
Evaluate each expression if g :2an:.d.h:-3.
2o. gn
32
I
Course
3
.
Chapter
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g1 + tZS
I
Real Numbers
NAME
PERIOD
DATE
Lesson 2 Reteach
Powers and Exponents
The product of repeated factors can be expressed as a power. A power consists of a base and an
exponent. The exponent tells how many times the base is used as a factor.
Example I
Write each expression using exponents.
a.'l .'l .'l .'l
7'7'7.7:74
The number 7 is a factor 4 times. So, 7 is the base and 4 is the exponent
b.y.!.x.y.y
y' y'
rc'
y' * ::r,
Commutative Property
.,
!, !r;:';
Associative Property
!3'x2
Definition of exponents
To evaluate a power, pedorm the repeated multiplication to find the product.
Example 2
Evaluate (-6)4.
(-6)a: (-6)' (-6) . (-6) .(-6)
Write the power as a product.
:1,296
Multiply.
E
The order of operations states that exponents are evaluated before multiplication, division, addition,
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and subtraction.
Example
Evaluate
m2
5
m,2
r
+ (n -m)t:
:
:
:
E
L
5
if m : -B and n :2.
(-3)'+ (2- (-3))a
Reptacemwith-3andnwith2.
(-B)2 + (5)3
Pedorm operations inside parentheses.
(-3 . -3) + (5 . 5 . 5)
Write the powers as products.
9 * I25 or 734
Add.
+ (n -
m)3
E
5
Exercises
Write each expression using exponents.
F
o
'i
o
1.8.8.8.8.8
85
2.a.a.a.o.cL.a
q6
5"
3.5.5.9.9.5.9.5.5
3
Evaluate each expression.
4.
24 I le
ALGEBRA
5.
- elj
Evaluate each expression if a
7.a2+b2
Course
(-s)5
5 . Chapter I
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26 f \\a
:
(r *- 't)
L
3
6(Ð
4e
: -4.
9,aIb2
8.(a+b)2
Real Numbers
õ and b
z
3
5
5
z
+ (:4)
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v
(r+
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