"Division of powers with the same base" PPT courseware

Description

"Division of powers with the same base" PPT courseware

Review the past and learn the new

1.The multiplication rule for powers with the same base is

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

2. The algorithm for raising powers is

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

3. The operation rule for the power of product is

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

Rules for multiplication of powers with the same base:

Multiply powers with the same base, keep the base unchanged, and add the exponents.

That is, aman=am+n (m, n are both positive integers)

calculate:

(1) (-2)3•(-2)2; (2) a5•a2;

(3) (-2)4·22; (4)-a2·a3;

(5)(-a)2•a3; (6)(a-b)•(a-b)2;

fill in the blank:

(7) ( ) × 103 = 105; (8) 23 × ( ) = 27;

(9) a4 × ( ) = a9; (10) ( ) × (-a)2 = (-a)10.

Class exercises

Exercise 1:

1. Calculation (oral answer):

(1) a9÷a3; (2) s7÷s3; (3) x10÷x8;

(4) 212÷27; (5) (-3)5÷(-3)2; (6) (- x)4÷(- x);

(7) (-a)4÷ (-a)2; (8) (-t)11÷(-t)2;

(9)(ab)6÷(ab)2; (10)(xy)8÷(xy)3;

(11) (2a2b)5÷ (2a2b)2; (12) (a+b)6÷(a+b)4;

Teach you a few tricks

1． The order of mixed operations of multiplication and division is the same as the order of mixed operations of rational numbers (i.e. "from left to right").

2. If the bases are different, first convert them to the same base and then apply the rule.

3． The entire algebraic expression can be regarded as the base. (overall thinking)

4. If the operation result can be simplified, it should be simplified.

Results display - summary

1. Rules for division of powers with the same base: Note that a≠0.

2. Four operation rules of power:

Multiplying powers with the same base: adding exponents. am·an=am+n

Dividing powers with the same base: subtracting exponents. am÷an=am-n

Power of power: multiplying exponents (am)n=amn

Power of product: Product of power (ab)n=anbn

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For more information about the "Division of Powers with the Same Base" PPT courseware, please click the "Division of Powers with the Same Base" 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: 2024-07-04

This template belongs to Mathematics courseware Qingdao Edition Seventh Grade Mathematics Volume 2 industry PPT template

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