"Multiplication of powers with the same base" PPT courseware

Description

"Multiplication of powers with the same base" PPT courseware

learning target

1. Go through the process of guessing, communication, reflection, etc., explore the rules of bases and exponents of powers when powers with the same base are multiplied, and cultivate mathematical thinking.

2. Understand the operational properties of multiplication of powers with the same base, be able to use it to perform operations, and experience the application of transformation ideas.

If Chang'e flies to the moon at a speed of 104 meters/second, how far can Chang'e fly in 102 seconds?

distance = time × speed

distance = 102 × 104

Same base

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Observe the left and right sides of each question below. What is the relationship between the base and the exponent?

102×104= 10( )

25×22=2( )

a3× a2 =a( )

Conjecture: am · an= ? (when m and n are both positive integers)

Discuss in groups and try to prove whether your conjecture is correct.

Properties of multiplication of powers with the same base:

When powers with the same base are multiplied together, _____ remains unchanged and _____ is added.

Exercise 1

1. Calculation: (quick answer)

(1) 76×74(710)

(2) a7·a8(a15)

(3)(-x)5 ·(-x)3(x8)

(4) b5·b (b6)

Is the calculation below correct? If it's wrong, how to correct it?

(1) b5 · b5 = 2b5 ( ) (2) b5 + b5 = b10 ( )

(3)x5 ·x5 = x25 ( ) (4) y5 · y5 = 2y10 ( )

(5)c · c3 = c3 ( ) (6) m + m3 = m4 ( )

(2) Supplementary exercises: Judgment (mark “√” if correct, “×” if incorrect)

(1)x3·x5=x15 ( ) (2) x·x3=x3 ( )

(3)x3+x5=x8 ( ) (3)x2·x2=2x4 ( )

(5)(-x)2 · (-x)3 = (-x)5= -x5 ( )

(6)a3·a2 - a2·a3 = 0 ( )

(7)a3·b5=(ab)8 ( ) (8) y7+y7=y14 ( )

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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:

"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 blanks: 1. 2222=2 ( ) 2. aaaaaa=a ( ) 3. aaaa=a ( ) Summary rule The multiplication rule for powers with the same base: ..

"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: ..

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Update Time: 2024-10-13

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

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