• Use powers and exponents.
• factors
• cubed
• exponent
• evaluate
• base
• standard form
• power
• exponential form
• squared
• Exponents are simply repeated
multiplication. We call the numbers
repeated factors.
• Example: 25 = 2•2•2•2•2 = 32
• This is read “2 to the fifth power”
• But what are exponent
the parts?
5
•2
base
= 32
power
Write Powers as Products
Write 84 as a product of the same factor.
Eight is used as a factor four times.
Answer: 84 = 8 ● 8 ● 8 ● 8
Write Powers as Products
Write 46 as a product of the same factor.
Four is used as a factor 6 times.
Answer: 46 = 4 ● 4 ● 4 ● 4 ● 4 ● 4
Write Powers in Standard Form
Evaluate the expression 83.
83 = 8 ● 8 ● 8
= 512
Answer: 512
8 is used as a factor 3 times.
Multiply.
Write Powers in Standard Form
Evaluate the expression 64.
64 = 6 ● 6 ● 6 ● 6
= 1,296
Answer: 1,296
6 is used as a factor 4 times.
Multiply.
Write Powers in Exponential Form
Write 9 ● 9 ● 9 ● 9 ● 9 ● 9 in exponential form.
9 is the base. It is used as a factor 6 times. So, the
exponent is 6.
Answer: 9 ● 9 ● 9 ● 9 ● 9 ● 9 = 96
What do we mean squared? Cubed?
• 52 would be read “five squared” because
the exponent is a 2.
• Therefore, the exponent of “2” makes it
squared
• 73 would be read “seven cubed” because
the exponent is a 3.
• Therefore, the exponent of “3” makes it
cubed.
• DIRECTIONS: change the multiplication problem
into a power and solve (exponential form).
• 6×6×6=
• 12 × 12 × 12 =
• 9 × 9 × 9 × 9=
• a×a×a=
• DIRECTIONS: change each power into a
multiplication problem and solve.
• 10² =
• 20³=
• 12² =
• 4³ =
• 70?
• Anytime a base has a zero for the
exponent, the answer is 1.
• So 70 = 1
Write 36 as a product of the same factor.
A. 3 ● 6
B. 6 ● 3
C. 6 ● 6 ● 6
D. 3 ● 3 ● 3 ● 3 ● 3 ● 3
1.
2.
3.
4.
A
B
C
D
Write 73 as a product of the same factor.
A.
7●3
B.
3●7
C. 7 ● 7 ● 7
D. 3 ● 3 ● 3 ● 3 ● 3 ● 3 ● 3
1.
2.
3.
4.
A
B
C
D
Evaluate the expression 44.
A. 8
B. 16
C. 44
D. 256
1.
2.
3.
4.
A
B
C
D
Evaluate the expression 55.
A. 10
B. 25
C. 3,125
D. 5,500
1.
2.
3.
4.
A
B
C
D
Write 3 ● 3 ● 3 ● 3 ● 3 in exponential form.
A. 35
B. 53
C. 3 ● 5
D. 243
1.
2.
3.
4.
A
B
C
D
End of the Lesson