Exponents

Location of Exponent

An exponent is a little number high An exponent is a little number high and to the right of a regular or base and to the right of a regular or base number.number.

3 4Base

Exponent

Definition of Exponent

An exponent tells how many times An exponent tells how many times a number is multiplied by itself. a number is multiplied by itself.

3 4Base

Exponent

What an Exponent Represents

An exponent tells how many times An exponent tells how many times a number is multiplied by itself.a number is multiplied by itself.

34= 3 x 3 x 3 x 3

How to read an Exponent

This exponent is read This exponent is read three to the three to the fourth power.fourth power.

3 4Base

Exponent

How to read an Exponent

This exponent is read This exponent is read three to the three to the 22ndnd power power oror three squared. three squared.

3 2Base

Exponent

How to read an Exponent

This exponent is read This exponent is read three to the three to the 3rd power 3rd power oror three cubed. three cubed.

3 3Base

Exponent

Read These Exponents

3 2 6 72 3 5 4

What is the Exponent?

2 x 2 x 2 = 23

What is the Exponent?

3 x 3 = 3 2

What is the Exponent?

5 x 5 x 5 x 5 = 54

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 33

927

81

4

What is the Base and Exponentin Standard Form?

4 2= 16

What is the Base and Exponentin Standard Form?

2 3= 8

What is the Base and Exponentin Standard Form?

3 2= 9

What is the Base and Exponentin Standard Form?

5 3= 125

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.

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.

Exponents of ZeroAnything 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.