"Multiplication of powers with the same base" PPT

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"Multiplication of powers with the same base" PPT

Part One: Knowledge Reproduction

Can you tell the meaning of an?

Represents the operation of the product of n a's.

fill in the blank:

1. 2×2×2×2=2 ( )

2. a×a×a×a×a×a=a ( )

3. a×a×a×…×a=a ( )

Summary rules

Rules for multiplication of powers with the same base:

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

Can you describe the properties of multiplication of powers with the same base in words?

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

Multiplication of powers with the same base PPT, Part 2: Consolidation exercises

Consolidation exercise 1

1. Calculation (quick answer)

(1) 105×106

(2) a7·a3

(3) x5 ·x5

(4) b5·b

(5) x5 ·x ·x3

(6)107×106×103

(7)y4·y3·y2·y

2. Are the calculations below correct? If there are any errors, please correct them:

(1) x3 ·x3＝2x6; ( )

(2) x4 ·x2＝x8; ( )

(3) a2＋a2＝a4; ( )

(4) x·x3 = x3. ( )

Consolidation Exercise 2

calculate

(1) a7·(-a)6;

(2) (-n)4·(-n3)

(3) (-y) ·y2·(-y)3

Consolidation exercise 3

calculate

1.(a-b)(a-b)3(a-b)2

2.(m-n)(n-m)4(m-n)3

3.an·an+1+a2n·a (n is a positive integer)

Multiplication of powers with the same base PPT, part 3: layered training

1. Calculation

(1) (1/10)5 × (1/10)7 (2) a13·a

(3)-b2·b5 (4)am+1·am-1 (m is an integer greater than 1)

2. Calculation

(1) 34×36×3 (2) a·a4·a5

3. Calculation

(1) (p-q)5·(q-p)2

(2) (s-t)m·(s-t)m+n·(t-s) (m, n are positive integers)

(3) xn·xn-1·x2n·x (n is a positive integer)

4. Answer questions

(1). It is known that am=8 and an=32. Find the value of am+n.

(2) In the Milky Way, the volume of the star Antares is about 2.2×108 times that of the sun, and the volume of the sun is about 1.3×106 times that of the earth. Then the volume of Antares is approximately that of the earth. times?

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"Multiplication of powers with the same base" PPT download:

"Multiplication of Powers with the Same Base" PPT Download Part One: Classroom Questions Question: An electronic computer can perform 1014 operations per second. How many operations can it perform in 103 seconds? 1014103＝(1010)(101010)＝（101010）＝1017 That is:..

"Multiplication of powers with the same base" PPT courseware 3:

"Multiplication of Powers with the Same Base" PPT Courseware 3 The manned space flight of the spacecraft is a great feat of our country's aerospace industry. It flies at a speed of about 104 meters/second and flies for about 105 seconds per day. How many meters does it fly every day? Answer: 104105=109 (meters) Answer: ..

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

"Multiplication of Powers with the Same Base" PPT Courseware 2 Question Scenario An electronic computer can perform 1014 operations per second. How many operations can it perform in 103 seconds? Column formula: 1014103 How to calculate 1014103? Knowledge Review 1. What is exponentiation? Find a few that are the same...

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Update Time: 2024-10-14

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

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