"Multiplication of powers with the same base" PPT download

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"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?

1014×103=(10×…×10)×(10×10×10)

=(10×10×…×10)

=1017

That is: the computer can perform 1017 operations in 103 seconds.

am · an = (aa…a) · (aa…a)

= aa…a

=am+n

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

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

Multiplication of powers with the same base PPT, part 2: analysis of examples

[Example 1] Calculation, the result is expressed in the form of a power:

(1) a·a6;

(2) (-2)3×(-2)2;

(3) -am·a2m;

(4) 25×23×24.

am·an·ap= am+n+p

(m, n, p are all positive integers)

[Example 2] Calculation, the result is expressed in the form of a power:

(1) (2y＋1)2 · (2y＋1)5;

(2) (p-q)5 · (q-p)2;

(3) a4·a6＋a5·a5.

Multiplication of powers with the same base PPT, Part 3: Feedback in class

1. calculate:

(1) a7·(-a)6; (2) (x+y)3·(-x-y)2.

2. The length of a cuboid is 4×103 cm, the width is 2×102 cm, and the height is 2.5×103 cm. Then its volume is ( ) cubic centimeters.

(Results are expressed in scientific notation).

A． 2×109 B． 20×108 C. 20×1018 D． 8.5×108

3. It is known that xm=3, xn=5, find xm+n.

Multiplication of powers with the same base PPT, part 4 content: extracurricular extension

[Regular Exploration Question] a3 represents the multiplication of 3 a's, (a3)4 represents the multiplication of 4 _____, so (a3)4 = a3· a3· a3· a3=____, from which (am)n can be deduced =______, where m and n are both positive integers, and use the rules you discovered to calculate:

(1) (a4)5=a20;

(2)[(a+b)10]3=(a+b)30.

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"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: ..

"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: 2024-11-22

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