"Powers to Powers and Products to Powers" PPT

Description

"Powers to Powers and Products to Powers" PPT

Part One: Knowledge Review

an=a·a·…·a

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

Do it

(1) The side length of a cube is 102cm, what is its volume?

(102)3=10²×10²×10²=102+2+2=106

(2) What can be recorded as the multiplication of 100 104?

(104)100

(3) First state the meaning of the following expressions, and then calculate the following expressions:

(23)2 means ____________;

(a4)3 means ____________;

(am)5 means___________．

Powers raised to powers and products raised PPT, part 2: analysis of examples

[Example 1] Calculation:

(1) (106)2; (2) (am)4 (m is a positive integer);

(3)-(y3)2; (4) (-x3)3.

Solution: (1) (106)2 = 106×2 = 1012;

(2) (am)4 = am×4 = a4m;

(3)-(y3)2 =-(y3×2) =-y6;

(4)(-x3)3 =-(x3)3 =-(x3×3) =-x9.

[Example 2] Calculation:

(1) x2·x4＋(x3)2; (2) (a3)3·(a4)3.

Solution: (1) x2·x4＋(x3)2 (2) (a3)3·(a4)3

＝x2+4＋x3×2 ＝a3×3·a4×3

＝x6＋x6＝a9·a12

=2x6 =a9+12

=a21

Power to the power and product to the power PPT, the third part: thinking

1. If a2n=5, find a6n;

2. If am=2, a2n=7, find a3m+4n;

3. Compare the sizes of 2100 and 375;

4. Given that 44×83=2x, find the value of x.

Keywords: Free download of Hebei Education Edition mathematics PPT courseware for seventh grade volume 2, power to the power and product to the power PPT download, .PPT format;

For more information about the PPT courseware "Powers to Powers and Products to Powers", please click on the Powers to Powers and Products to Powers ppt tab.

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"Powers of Powers and Powers of Products" PPT Courseware Part One Content: Classroom Thoughts 1. If a2n=5, find a6n 2. If am=2, a2n=7, find a3m+4n 3 Compare the sizes of 2100 and 375 . 4 Given that 4483=2x, find the value of X. Fill in the blanks for knowledge review: 1. am+am=___..

"Powers to Powers and Products to Powers" Operations of Integers PPT Courseware 3:

"Powers to Powers and Products to Powers" Operations of Integers PPT Courseware 3 Knowledge Review 1. Multiplication of powers with the same base Rule: When powers with the same base are multiplied, the base remains unchanged and the exponents are added. Mathematical symbol representation: (where m and n are positive integers) 2. Power rule: Power...

"Powers to Powers and Products to Powers" Operations of Integers PPT Courseware 2:

"Powers to Powers and Products to Powers" Operations on Integers PPT Courseware 2 Summary of the main differences between the three operations: Multiplication of powers with the same base: (1) Same base (2) Multiplication and combination of similar terms: (1) Same base Add the power of the same exponent (2): the form of exponentiation and then exponentiation..

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Update Time: 2024-07-22

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