Multiplication of numbers in exponential form

HOUSEKEEPING

Did you complete the reading Map test yesterday?

Today – Math MAP test (9:00 am or 2:00 pm)

Now Open!! • Unit 1: Lesson 2 Multiplication and Division of

Numbers in Exponential Form

WARM UP

Write in exponential form.

A. x • x • x • x • x

B. d • d • d

C. 7 • 7 • b • b

PROPERTIES OF EXPONENTS

MULTIPLICATION

GOAL FOR TODAY…….

Goal: Be able to apply

properties of exponents to generate equivalent numerical expressions

Agenda: Review –

Exponential Notation

Multiplication Property

Properties of Exponents

There are some basic properties that we will discuss in this lesson and the next lesson that deal with “raising a number to a power”

What do you think?

For example:

How do you multiply different powers of the same number x: if m, n are positive integers, what is ?

Example:

Think of it this way!

= 3 3 3 3 3 3 3 3 3 3 3 3

The factors of a power, such as 74, can be grouped in different ways.

7 • 7 • 7 • 7 =

(7 • 7 • 7) • 7 =

(7 • 7) • (7 • 7) =

Notice the relationship of the exponents in each product.

74

73 • 71 = 74

72 • 72 = 74

By the definition of exponential notation we looked at in the previous lesson.

Multiplication Property

We’re the same!?!?

Example TimeMultiply. Write the product as one power.

Example TimeMultiply. Write the product as one power.

What would happen if there were more than two terms with the same base? Write an equivalent expression for each problem.

Can the following expressions be simplified? If so, write an equivalent expression. If not, explain why not.

Can the following expressions be simplified? If so, write an equivalent expression. If not, explain why not.

WRAP UPIt’s over already : (

If you have the same bases, add the exponents when multiplying.