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

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

learning target

1. Through the operational properties of multiplication of powers with the same base, you can 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. Able to use the arithmetic properties of exponential powers with the same base to perform calculations.

Review the past and learn the new

Exercise 1:

1. Calculation:

(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;

Question 2: What do the two powers in the following four questions have in common?

(1)105÷103;

(2) 27 ÷ 23;

(3) a9÷a4;

(4)(-a)10 ÷ (-a) 2.

Question 3: Please calculate the results of each of the above questions.

(1)105÷103 =102

(2)27 ÷ 23 =24

(3) a9÷ a4 =a5

(4)(-a)10 ÷(-a)2=(-a)8

communication and discovery

Divide powers with the same base, keep the base unchanged, and subtract the exponents

am÷an=am-n

(where a≠0, m,n are all positive integers, and m>n)

think:

(1) Discussion: Why is it noted that a≠0? m>n?

(2) Can you describe the rule of division of powers with the same base in written language?

Classroom meets standards

1. Calculate the following equations:

(1)x5÷x4÷x (2)y9÷y6÷y2

(3) a5÷a4.a2 (4) y8÷(y6÷y2)

(5) (a3)5÷(a2)3 (6)xn-1÷x·x3-n

(7)-(y5·y4)÷(y3·y4)

(8) (-x)8÷(-x)2-x4•x2.

2. It is known that am=2, an=3, find:

(1) The value of am-n; (2) The value of a2m-n.

extracurricular extension

1. Calculate:

(1) (a-b)7 ÷ (b-a)3 = -(a-b)4

(2) m19 ÷ m14 � m3 ÷ m =m7

(3) (b2 ) 3 �(-b 3)4 ÷(b 5)3 = b3

(4) 98 � 27 2 ÷ (-3) 18 =81

2. Given: 812x÷92x÷3x=729, find the value of x.

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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:

"Division of powers with the same base" PPT courseware review old knowledge and learn new things 1. The operation rule of multiplication of powers with the same base is aman=am+n (m and n are positive integers) 2. The operation rule of power exponentiation is (am)n=amn ( m, n are positive integers) 3. The operation rule for the power of the product is (ab)n=anbn (n is..

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Update Time: 2024-10-01

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

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