"Division of powers with the same base" PPT courseware for operation of integers

Description

"Division of powers with the same base" PPT courseware for operation of integers

1. Knowledge introduction

1. Rules for multiplication of powers with the same base:

am·an=a(m+n) (m, n are both positive integers)

2. Rules for multiplication of powers:

(am)n=amn (m, n are both positive integers)

3. Rules for multiplication of products:

(ab)n=anbn (n is a positive integer)

learning target

1. Experience the process of exploring the properties of division operations of powers with the same base, further understand the meaning of power, and develop reasoning and expression abilities.

2. Master the properties of division operations of powers with the same base, and be able to use division with powers of the same base to solve practical problems.

Second Study: Exploring the Rule of Division of Powers with the Same Base

1. We know the rules for multiplication of powers with the same base:

am·an=a(m+n)

So how do we divide powers with the same base?

Calculate using methods you are familiar with:

(1)25÷23=_____ (2)107÷103=_____ (3)a7÷a3=_____

3. Summary

From the above calculation, we find

(1)25÷23=22-----2(5-3)

(2)107÷103=104-----10(7-3)

(3)a7÷a3=a4(a≠0)-----a(7-3)

What patterns can you spot?

Generally speaking, assuming m and n are positive integers, and m>n, there is: a≠0

am÷an=a（m-n）

This means that when powers with the same base are divided, the base remains the same and the exponents are subtracted.

Explore

Lesson Summary

1. Division rules for powers with the same base

The conditions in am ÷an = a m-n (a≠0, m and n are both positive integers, and m>n) can be changed to: (a≠0, m and n are both positive integers)

2. Any number raised to the 0th power that is not equal to 0 is equal to 1.

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For more information about the PPT courseware "Operations of Division of Integers with Powers of the Same Base", please click the "Operations of Division of Integers with Powers of the Same Base ppt" ppt tag.

"Division of Powers with the Same Base" PPT download:

"Division of powers with the same base" PPT download Part 1 content: Knowledge review 1. Division of powers with the same base, base ____, exponent ___. 2. aman=____ (a0, m, n are all positive integers, and mn) 3 .Calculation: (1) 279973 (2) b2mbm-1 (m is an integer greater than 1)..

"Division of powers with the same base" PPT:

"Division of Powers with the Same Base" PPT Part One: Preschool Preparation The intensity of the sound when a person speaks is usually 105, and the intensity of the sound when a motorcycle is driving is 1011. The intensity of the sound when a motorcycle is driving is the intensity of the sound when a person speaks. times? Solution: 10111..

"Division of powers with the same base" PPT courseware 2:

"Division of Powers with the Same Base" PPT Courseware 2 Learning Objectives 1. Through the operational properties of multiplication of powers with the same base, derive the operational properties of division of powers with the same base. 2. Be able to use the operational properties of division of powers with the same base to perform calculations. 3. Be able to utilize the operational properties of exponents with the same base..

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Update Time: 2024-07-01

This template belongs to Mathematics courseware Beijing Normal University seventh grade mathematics volume 2 industry PPT template

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