exponent introduction

1. Exponents

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

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

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

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

6. How to read an Exponent
 This exponent is readThis exponent is read three to thethree to the
22ndnd
powerpower oror three squared.three squared.
3
2
Base
Exponent

7. How to read an Exponent
 This exponent is readThis exponent is read three to thethree to the
3rd power3rd power oror three cubed.three cubed.
3
3
Base
Exponent

8. Read These Exponents
3 2 6 72 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 33
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. Evaluating Exponents with
Negative Bases:
Ex1 (-2)4
= (-2)(-2)(-2)(-2) = 16
Ex2 -24
= -2(2)(2)(2) = -16
The negative is included within the
parenthesis. Expand the negative.
The negative is NOT included within
the parenthesis. Expand the 2 ONLY,
then attach the negative at then end.

21. Evaluating Exponents with
Negative Bases:
Ex3 (-5)3
= (-5)(-5)(-5) = -125
Ex4 -53
= -5(5)(5) = -125
The negative is included within the
parenthesis. Expand the negative.
The negative is NOT included within
the parenthesis. Expand the 5 ONLY,
then attach the negative at then end.

22. Exponents of Zero
Anything Raised to Zero = 1.
Ex5 20
= 1 Ex6 (-2)0
= 1
Ex7 -20
= -1 Ex8 x0
= 1
Notice this answer is -1, not just 1. This
is because the negative on the base of 2
is NOT being raised to the zero power.