1. Exponents

2. Location of Exponent
An exponent is a little number high and to the right of a regular or base number. 3 4
Exponent
Base

3. Definition of Exponent
An exponent tells how many times a number is multiplied by itself. 3 4
Exponent
Base

4. What an Exponent Represents
An exponent tells how many times a number is multiplied by itself. 4
= 3 x 3 x 3 x 3 3

5. How to read an Exponent
This exponent is read three to the fourth power. 3 4
Exponent
Base

6. How to read an Exponent
This exponent is read three to the 2nd power or three squared. 3 2
Exponent
Base

7. How to read an Exponent
This exponent is read three to the 3rd power or three cubed. 3 3
Exponent
Base

8. Read These Exponents 3 2 6 7 2 3 5 4

9. What is the Exponent? 3
2 x 2 x 2 = 2

10. Any number to the 1st power equals that number.
6¹ = 6

11. Any number to the zero power equals one.
8º = 1
4º = 1
2005º = 1

12. What is the Exponent? 2
3 x 3 = 3

13. What is the Exponent? 4
5 x 5 x 5 x 5 = 5

14. What is the Base and the Exponent?4
8 x 8 x 8 x 8 = 8

15. What is the Base and the Exponent?5
7 x 7 x 7 x 7 x 7 = 7

16. What is the Base and the Exponent?9 2

17. How to Multiply Out an Exponent to Find the Standard Form4 3
= 3 x 3 x 3 x 3 9 27 81

18. What is the Base and Exponent in Standard Form?2 4 16 =

19. What is the Base and Exponent in Standard Form?3 2 8 =

20. What is the Base and Exponent in Standard Form?1 3 3 =

21. What is the Base and Exponent in Standard Form?5 1 =

22. 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.
15ft.
30ft 2

23. Length x width x height = volume A box is a rectangle Length = 10 cm.
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. 20 10 10 3

24. 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

25. Here Are Some Volumes Change Them to Exponents3
30 feet cubed = 30 ft.
26 cu. inches = 26 in.
44 m. cubed = 44 m.
56 cu. cm. = 56 cm. 3 3 3

26. Exponents of Ten
Notice that the number of zeros
matches the exponent number 2
100 10 3
1,000 4
10,000 5
100,000

27. What Is the Standard Form
Exponents of Ten
What Is the Standard Form
of These Tens? 2
100 10 3
1,000 4
10,000 5
100,000

28. Multiplying Multiples of Ten
Multiply These Numbers
100 x 2 =
200
1,000 x 3 =
3,000
10,000 x 7 =
70,000
100,000 x 9 =
900,000

29. Multiplying Multiples of Ten
Did you notice that all you
have to do is multiply 1 x whole
number & add the zeros behind?
100 x 2 =
200
1,000 x 3 =
3,000
10,000 x 7 =
70,000
100,000 x 9 =
900,000

30. Short Cut for Writing Large Numbers
Combine these two steps for
writing large numbers.
6 x 10 2
600 =
6 x (10 x 10) = 6 x 100 = 600

31. Short Cut for Writing Large Numbers
Remember!
The exponent is the same as the number of zeros. 2
6 x 10
600 =

32. What is the Standard Number?
7 x 10 2
700 =

33. What is the Standard Number?
8 x 10 3
8,000 =

34. What is the Standard Number?
9 x 10 4
90,000 =

35. What is the Standard Number?
4 x 10 2
400 =

36. What is the Exponent Form?5
700,000
7 x 10 =

37. What is the Exponent Form?2
500
5 x 10 =

38. What is the Exponent Form?3
6,000
6 x 10 =

39. What is the Exponent Form?4
90,000
9 x 10 =