**Exponents**

**Vocabulary**

Exponent- Indicates the number of times a # is to be multiplied by itself (power)

Rules of exponents

X - Anything raised to "1" will equal itself (Base #)

5 = 5

(X )

Base:

A # that is to be raised to a power

Power:

Number that tells how many times to multiply

3

2

Power

Base

Cubed: a number that has an exponent of 3

Squared: a number that has a exponent of 2

Forms

Factor form: When the numbers are expanded out

4 = 4 x 4 x 4

3

factors

Exponent form: when you only see the base number and power

4

3

0

0

X

1

- Anything raised to "0" will equal 1

6 = 1

1

X

M

X

X

n

= X

m+n

When multiplying, if the bases are the same then the exponents can be added.

4 x 4 = 4 = 4

standard form: the answer

4 = 64

3

2

3

2+3

5

x/X

m

n

When dividing,if the bases are the same then the exponents can be subtracted

5/5

= X

m-n

5

3

= 5

5-3

=5

2

Rules Continued

m

n

=X

mn

Expand, and make sure your following the order of operations

(x ) = (xx) =(xx)(xx)(xx)(xx)(xx)=x

2

5

5

10

(xy)

m

= x

m

y

m

Think of distribution and distribute the exponent to both variables.

(xy) = x y

2

2

2

Negative Exponents

A negative exponent means, that the exponet is on the wrong side of the fraction line, so you take the reciprocal to make it even (flip, divide)

Bases that are (-) and have a even exponent will have a (+) answer

-4 = (-4)*(-4)=16

2

Bases that are (-) and have a odd exponent will have a (-) answer

-5 = (-5)* (-5)* (-5)= -125

3

a

-n

=

1

a

n

7

-2

= 1

7

2

= 1

49

=0.0204

**Cards of Exponents**

ACE-

2-4

5-10

1

0

Variables

Face Cards-

Bases-

Exponents-

Jokers-

Product rule

ones rule

zero rule

Quotient rule

power rule

ex:10

2

ex: 10

3

**Lets Practice!!**