7.1 Zero and Negative Exponents:

Base: A number that is multiplied repeatedly.

Exponent: A number that shows repeated multiplication.

Property: A character or attribute that something has.

GOAL:

Definition:An exponent equation has two

components:

𝑏𝑥

Base

Exponent

PROPERTIES: ZERO: as an exponentFor every number a,

= 1Ex: 40 = 1 (-3)0 = 1 1000 = 1

1,000,0000 = 1 (-½) 0 = 1

YOU TRY IT: Simplify the following exponents:

1) -1 0

2) (-1) 0

3) m 0

4) -1/3 0

SOLUTION: No matter what integer it is, anything to the power of zero is 1.

1) -1 0 = -1

2) (-1) 0 = 1

3) m 0 = 1

4) -1/3 0 = -1

PROPERTIES: Negative numbers: as an exponents

For every nonzero number a and integer n

=

NOTE: In math we never like to work with negative exponents.

Ex:

We must always provide answers with positive exponents.

3−2

−2−2

ALSO: If negative exponents are in the denominator, we still turn them into positive.Ex:

1()

6() 6(4) =24

1(9) = 9

SIMPLIFYING EXPONENTIAL EXPRESSIONS: Once again, always give answers with positive exponents only!Ex: What is the simplified form of each expression?

a)5a3b-2 b)

c)4c-3r d)

SOLUTIONS: Switch the integers that have negative to the other side.

a)5a3b-2

b)

c) 4c-3r

d)

x5

VIDEO: Get a hot chocolate and

enjoy this!!!.

http://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/negative-and-positive-exponents

Negative Exponents

Exponents Definition

Negative and Positive Exponents

http://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/exponent-properties-2

http://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/exponent-properties-1

CLASSWORK:

Page 417-418:

Problems: As many as needed to understand the concept