9.1 Exponents Practice Journal Page 174-177 (no calculators) A power is an expression written with an exponent and a base.
Download ReportTranscript 9.1 Exponents Practice Journal Page 174-177 (no calculators) A power is an expression written with an exponent and a base.
Slide 1
9.1 Exponents
Slide 2
Practice Journal Page 174-177 (no calculators)
Slide 3
A power is an expression written with an exponent and
a base or the value of such an expression. 3² is an
example of a power.
The base is the
number that is
used as a factor.
3
2
The exponent, 2 tells
how many times the
base, 3, is used as a
factor.
Slide 4
When a number is raised to the second power, we
usually say it is “squared.” The area of a square is s s =
s2, is the side length.
S
S
When a number is raised to the third power, we usually
say it is “cubed.” The of volume of a cube is s s s = s3 is
the side length.
S
S
S
Slide 5
Write the power represented by the geometric
model.
5
5
5
53
The figure is 5 units long, 5 units wide,
and 5 units tall. 5 5 5
The factor 5 is used 3 times.
Slide 6
Write the power represented by the geometric
model.
x
x
Slide 7
There are no easy geometric models for numbers raised to
exponents greater than 3, but you can still write them using
repeated multiplication or a base and exponent.
Reading Exponents
Words
3 to the first power
3 to the second power, or 3
squared
3 to the third power, or 3
cubed
3 to the fourth power
3 to the fifth power
Multiplication
Power
Value
3
31
3
33
32
9
333
33
27
3333
34
81
33333
35
243
Slide 8
Caution!
In the expression –52, 5 is the base because the
negative sign is not in parentheses. In the expression
(–2), –2 is the base because of the parentheses.
Slide 9
Evaluate each expression.
A. (–6)3
(–6)(–6)(–6)
Use –6 as a factor 3 times.
–216
B. –102
–1 • 10 • 10
–100
Think of a negative sign in front of
a power as multiplying by a –1.
Find the product of –1 and
two 10’s.
Slide 10
Evaluate the expression.
C.
2 2
9 9
2 2= 4
9 9
81
Use 2 as a factor 2 times.
9
Slide 11
Evaluate each expression.
a. (–5)3
b. –62
Slide 12
Evaluate the expression.
c.
Slide 13
Write each number as a power of the given base.
A. 64; base 8
88
The product of two 8’s is 64.
82
B. 81; base –3
(–3)(–3)(–3)(–3)
(–3)4
The product of four –3’s is 81.
Slide 14
Write each number as a power of a given base.
a. 64; base 4
b. –27; base –3
9.1 Exponents
Slide 2
Practice Journal Page 174-177 (no calculators)
Slide 3
A power is an expression written with an exponent and
a base or the value of such an expression. 3² is an
example of a power.
The base is the
number that is
used as a factor.
3
2
The exponent, 2 tells
how many times the
base, 3, is used as a
factor.
Slide 4
When a number is raised to the second power, we
usually say it is “squared.” The area of a square is s s =
s2, is the side length.
S
S
When a number is raised to the third power, we usually
say it is “cubed.” The of volume of a cube is s s s = s3 is
the side length.
S
S
S
Slide 5
Write the power represented by the geometric
model.
5
5
5
53
The figure is 5 units long, 5 units wide,
and 5 units tall. 5 5 5
The factor 5 is used 3 times.
Slide 6
Write the power represented by the geometric
model.
x
x
Slide 7
There are no easy geometric models for numbers raised to
exponents greater than 3, but you can still write them using
repeated multiplication or a base and exponent.
Reading Exponents
Words
3 to the first power
3 to the second power, or 3
squared
3 to the third power, or 3
cubed
3 to the fourth power
3 to the fifth power
Multiplication
Power
Value
3
31
3
33
32
9
333
33
27
3333
34
81
33333
35
243
Slide 8
Caution!
In the expression –52, 5 is the base because the
negative sign is not in parentheses. In the expression
(–2), –2 is the base because of the parentheses.
Slide 9
Evaluate each expression.
A. (–6)3
(–6)(–6)(–6)
Use –6 as a factor 3 times.
–216
B. –102
–1 • 10 • 10
–100
Think of a negative sign in front of
a power as multiplying by a –1.
Find the product of –1 and
two 10’s.
Slide 10
Evaluate the expression.
C.
2 2
9 9
2 2= 4
9 9
81
Use 2 as a factor 2 times.
9
Slide 11
Evaluate each expression.
a. (–5)3
b. –62
Slide 12
Evaluate the expression.
c.
Slide 13
Write each number as a power of the given base.
A. 64; base 8
88
The product of two 8’s is 64.
82
B. 81; base –3
(–3)(–3)(–3)(–3)
(–3)4
The product of four –3’s is 81.
Slide 14
Write each number as a power of a given base.
a. 64; base 4
b. –27; base –3