1.
(2
5
)
3
2.
(x
2
)
4
3.
(2x
3
)
3
12

Quotient-Power Rule for Exponents
Examples:
Simplify each expression.
13

Summary
The following table summarizes the five properties of exponents
14

4.2: Zero and Negative Exponents and Scientific Notation
Objectives:
4.2.1: Define a zero exponent
4.2.2: Simplify expressions with negative
exponents
4.2.3: Write a number in scientific notation
4.2.4: Solve an application involving scientific
notation
15

4.2.1: Define a Zero Exponent
Examples:
Simplify each
expression.
1.
17
0
2.
(a
3
b
2
)
0
3.
6x
0
4.
–
3y
0
16

4.2.2: Simplify Expressions with Negative Exponents
Examples:
Simplify each
expression.
1.
y
-5
2.
(
–
3)
-3
3.
4
-2
4.
2x
-3
5.
4w
-2
6.
(4w)
-2
To
simplify
means to write the
expression with
positive
exponents
only.
17

4.2.2: Simplify Expressions with Negative Exponents
Examples:
Simplify each
expression.
18

4.2.2: Simplify Expressions with Negative Exponents
Examples:
Simplify each of the following expressions, and
write the result, using positive exponents only.
1.
x
3
. x
-7
2.
3.
19

4.2.2: Simplify Expressions with Negative Exponents
Examples:
Simplify each
expression.
20

4.2.2: Simplify Expressions with Negative Exponents
Examples:
Simplify each of the following expressions.
21

4.2.3: Write a Number in Scientific Notation
The
Scientific Notation
is an important use of exponents.
Example on Identifying Solutions of One-Variable Equations:
Examples:
When a number is written in scientific notation, we look at the
sign of the exponent
to determine if the number is
large
or
small
.
If the exponent is
not negative
, then the number is
greater than
or
equal
to one. If the exponent is
negative
, then the number is
less than
one.
22

4.2.3: Write a Number in Scientific Notation
Examples:
Write each of the following numbers in scientific
notation.
23

4.2.4: Solve an Application Involving Scientific Notation
Example:
Light travels at an approximate speed of 3.05 Χ 10
8
meters
per second (m/s). There are about 3.15 Χ 10
7
s in a year. How
far does light travel in a year?
24

4.3: Introduction to Polynomials
Objectives:
4.3.1: Identify types of polynomials
4.3.2:Find the degree of a polynomial
4.3.3: Write polynomials in descending-exponent
form
25

4.3: Introduction to Polynomials
A
polynomial
is one of the most common kind of algebraic
expression.
A
term
is a number or the product of a number and one or more
variables and their exponents.

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- Fall '18
- jane
- Accounting, Algebra, Addition, Exponents, Exponentiation