"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.

"Powers to powers and products to powers" PPT courseware:

"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..

File Info

Update Time: 2024-11-15

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

Preview