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Exponents
By Monica Yuskaitis
Location of Exponent
 An exponent is a little number high
and to the right of a regular or base
number.
3
4
Base
Exponent
Definition of Exponent
 An exponent tells how many times
a number is multiplied by itself.
3
4
Base
Exponent
What an Exponent Represents
 An exponent tells how many times
a number is multiplied by itself.
3
4
= 3 x 3 x 3 x 3
How to read an Exponent
 This exponent is read three to the
fourth power.
3
4
Base
Exponent
How to read an Exponent
 This exponent is read three to the
2nd power or three squared.
3
2
Base
Exponent
How to read an Exponent
 This exponent is read three to the
3rd power or three cubed.
3
3
Base
Exponent
Read These Exponents
3 2 6 7
2 3 5 4
What is the Exponent?
2 x 2 x 2 = 2
3
What is the Exponent?
3 x 3 = 3
2
What is the Exponent?
5 x 5 x 5 x 5 = 5
4
What is the Base and the
Exponent?
8 x 8 x 8 x 8 = 8
4
What is the Base and the
Exponent?
7 x 7 x 7 x 7 x 7 =7
5
What is the Base and the
Exponent?
9 x 9 = 9 2
How to Multiply Out an
Exponent to Find the
Standard Form
= 3 x 3 x 3 x 3
3
9
27
81
4
What is the Base and Exponent
in Standard Form?
4
2
= 16
What is the Base and Exponent
in Standard Form?
2
3
= 8
What is the Base and Exponent
in Standard Form?
3
2
= 9
What is the Base and Exponent
in Standard Form?
5
3
= 125
Exponents Are Often Used in
Area Problems to Show the
Feet Are Squared
Length x width = area
A pool is a rectangle
Length = 30 ft.
Width = 15 ft.
Area = 30 x 15 = 450 ft.2
15ft.
30ft
Exponents Are Often Used in
Volume Problems to Show the
Centimeters Are Cubed
Length x width x height = volume
A box is a rectangle
Length = 10 cm.
Width = 10 cm.
Height = 20 cm.
Volume =
20 x 10 x 10 = 2,000 cm.
3
10
10
10
Here Are Some Areas
Change Them to Exponents
40 feet squared = 40 ft.
56 sq. inches = 56 in.
38 m. squared = 38 m.
56 sq. cm. = 56 cm.
2
2
2
2
Here Are Some Volumes
Change Them to Exponents
30 feet cubed = 30 ft.
26 cu. inches = 26 in.
44 m. cubed = 44 m.
56 cu. cm. = 56 cm.
3
3
3
3

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Exponents Intro with Practice and Meaning of each

  • 2. Location of Exponent  An exponent is a little number high and to the right of a regular or base number. 3 4 Base Exponent
  • 3. Definition of Exponent  An exponent tells how many times a number is multiplied by itself. 3 4 Base Exponent
  • 4. What an Exponent Represents  An exponent tells how many times a number is multiplied by itself. 3 4 = 3 x 3 x 3 x 3
  • 5. How to read an Exponent  This exponent is read three to the fourth power. 3 4 Base Exponent
  • 6. How to read an Exponent  This exponent is read three to the 2nd power or three squared. 3 2 Base Exponent
  • 7. How to read an Exponent  This exponent is read three to the 3rd power or three cubed. 3 3 Base Exponent
  • 8. Read These Exponents 3 2 6 7 2 3 5 4
  • 9. What is the Exponent? 2 x 2 x 2 = 2 3
  • 10. What is the Exponent? 3 x 3 = 3 2
  • 11. What is the Exponent? 5 x 5 x 5 x 5 = 5 4
  • 12. What is the Base and the Exponent? 8 x 8 x 8 x 8 = 8 4
  • 13. What is the Base and the Exponent? 7 x 7 x 7 x 7 x 7 =7 5
  • 14. What is the Base and the Exponent? 9 x 9 = 9 2
  • 15. How to Multiply Out an Exponent to Find the Standard Form = 3 x 3 x 3 x 3 3 9 27 81 4
  • 16. What is the Base and Exponent in Standard Form? 4 2 = 16
  • 17. What is the Base and Exponent in Standard Form? 2 3 = 8
  • 18. What is the Base and Exponent in Standard Form? 3 2 = 9
  • 19. What is the Base and Exponent in Standard Form? 5 3 = 125
  • 20. Exponents Are Often Used in Area Problems to Show the Feet Are Squared Length x width = area A pool is a rectangle Length = 30 ft. Width = 15 ft. Area = 30 x 15 = 450 ft.2 15ft. 30ft
  • 21. Exponents Are Often Used in Volume Problems to Show the Centimeters Are Cubed Length x width x height = volume A box is a rectangle Length = 10 cm. Width = 10 cm. Height = 20 cm. Volume = 20 x 10 x 10 = 2,000 cm. 3 10 10 10
  • 22. Here Are Some Areas Change Them to Exponents 40 feet squared = 40 ft. 56 sq. inches = 56 in. 38 m. squared = 38 m. 56 sq. cm. = 56 cm. 2 2 2 2
  • 23. Here Are Some Volumes Change Them to Exponents 30 feet cubed = 30 ft. 26 cu. inches = 26 in. 44 m. cubed = 44 m. 56 cu. cm. = 56 cm. 3 3 3 3