"Powers to Powers and Products to Powers" Multiplication and Division of Integers PPT (Lesson 1)

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"Powers to Powers and Products to Powers" Multiplication and Division of Integers PPT (Lesson 1)

Part One: Objectives of this Section

1. Explore the operation process of exponentiating powers and exponentiating products, and develop cooperative communication skills, reasoning skills and organized expression skills.

2. Correctly use the rules of exponentiation of powers and multiplication of products to perform power-related operations and solve some practical problems.

3. Cultivate students’ good habits of analyzing and solving problems.

Powers to powers and products to powers PPT, Part 2: Preview feedback

1. calculate:

2. Among the following formulas, which one can be established by filling in a3 ( )

A. a6=( )2 B. a6=( )3 C.a3=( )0 D. a5=( )2

3. Which of the following calculations is correct ( )

A. xa.x3=(x3)a B. xa.x3=(xa)3

C. (xa)4=(x4)a D. xa. xa. xa=x3+a

4． If (3n)2=38, then the value of n is ( )

A.4 B.2 C.3 D. Unable to determine

Powers raised to powers and products raised PPT, part three: classroom exploration

Exploration (1):

The calculation formula is listed as:

Think: What is the calculation you listed?

2. Explore algorithms

(102)3=( )×( )×( )

=10( )+( )+( )

=10( ) ×( )

=10();

(23)6=( )×( ) ×( )×( ) ×( )×( )

=2( )+( )+( )+ ( )+( )+( )

=2( ) ×( )

=2( );

3. Imitate calculations and look for patterns

① (63)4=( )×( )×( )×( )= 6( )

② (108)3=______.

Powers raised to powers and products raised PPT, Part 4: Analysis of classic examples

Example 1. Calculation

(1) (y2)3 . y ; (2) 2(a2)6 - (a3)4 .

Example 2: If 4�8m�16m = 29, find the value of m

Solution: 22.(23)m.(24)m=29

22.23m.24m=29

22+3m+4m=29

So: 2+3m+4m=9

m=1

Powers raised to powers and products raised PPT, Part 5: Summary of this lesson

Rules for power exponentiation: the base remains unchanged and the exponents are multiplied.

The formula for power exponentiation: (am)n=amn

The inverse operation formula of power: amn = (am) n = (an) m

Homework assignment

Homework: Complete the synchronization exercises in this section

Preview homework: Preview 1.2.2 "Powers of Powers and Powers of Products" "Preview Plan" in the tutorial plan

Keywords: Beijing Normal University version seventh grade mathematics volume 2 free download PPT courseware, power to the power and product power PPT download, multiplication and division of integers PPT download, .PPT format;

For more information about the PPT courseware "Multiplication and division of integers raised to powers and products raised", please click on the Multiplication and Division of integers PPT Powers raised and products raised PPT tag.

"Powers raised to powers and products raised to powers" Multiplication and division of integers PPT download:

"Powers of Powers and Powers of Products" Multiplication and Division of Integers PPT Download Part One Content: Learning Objectives 1. Correctly use the multiplication rules of powers to perform power-related operations and solve some practical problems. 2. Cultivate students to learn how to Good habits of analyzing and solving problems...

"Powers raised to powers and products raised to powers" Multiplication and division of integers PPT (Lesson 2):

"Powers raised to powers and products raised to powers" Multiplication and division of integers PPT (Lesson 2) Part 1: Objectives of this section 1. Explore the operation process of powers raised to powers and products raised to powers, and develop cooperative communication and reasoning abilities and the ability to express yourself in an organized manner. 2. Use multiplication of powers correctly..

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Update Time: 2024-10-03

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