Page 2: Operations with Powers

This page delves into various operations involving powers, essential for exercices sur les puissances 4ème.

The following rules are explained:

1. Multiplication of powers with the same base: a^m × a^n = a^(m+n)

   Example: 7^2 × 7^3 = 7^5 = 16,807

2. Division of powers with the same base: a^m ÷ a^n = a^(m-n)

   Example: 3^5 ÷ 3^2 = 3^3 = 27

3. Power of a power: (a^m)^n = a^(m×n)

   Example: (4^2)^3 = 4^6 = 4,096

4. Power of a product: (a × b)^n = a^n × b^n

   Example: (3 × 11)^2 = 3^2 × 11^2 = 9 × 121 = 1,089

Highlight: These rules form the foundation for solving more complex problème 4ème puissance scenarios.

Page 3: Powers of 10 and Scientific Notation

This page focuses on powers of 10 and introduces scientific notation, crucial concepts for cours sur les puissances 4ème PDF.

Key points:

• Powers of 10: 10^n represents 1 followed by n zeros
• Negative powers of 10: 10^-n represents a decimal with n-1 zeros before the 1
• Scientific notation: expressing numbers as a product of a number between 1 and 10 and a power of 10

Example: 25,300 = 2.53 × 10^4 Example: 0.000072 = 7.2 × 10^-5

The page also touches on calculations involving powers of 10 and the concept of order of magnitude.

Highlight: Understanding powers of 10 and scientific notation is essential for working with very large or very small numbers in science and engineering.