Calculating with Powers and Metric Prefixes

This page delves deeper into calculations involving powers, focusing on operations with powers of 10 and introducing metric prefixes. These topics are frequently tested in Exercice puissance brevet Corrigé and are essential for Qu'est-ce qui tombe le plus souvent au brevet de maths ?.

The page starts with examples of multiplying and dividing powers:

• 10² × 10²² = 10²⁴
• 10⁵ ÷ 10² = 10³

Example: 7⁵ × 7² = 7⁷ (When multiplying powers with the same base, add the exponents)

It then introduces metric prefixes and their corresponding powers of 10:

• Tera (T) = 10¹²
• Giga (G) = 10⁹
• Mega (M) = 10⁶
• Micro (μ) = 10⁻⁶
• Nano (n) = 10⁻⁹
• Pico (p) = 10⁻¹²

Vocabulary: These prefixes are crucial in scientific notation and real-world applications of large and small numbers.

The page concludes with more complex examples and rules:

• (10⁵)³ = 10¹⁵ (When raising a power to another power, multiply the exponents)
• aⁿ × aᵐ = aⁿ⁺ᵐ
• aⁿ ÷ aᵐ = aⁿ⁻ᵐ
• (aⁿ)ᵐ = aⁿᵐ
• (a × b)ⁿ = aⁿ × bⁿ

These rules and examples are essential for solving Exercices puissances 3ème PDF and QCM puissance Brevet questions.

Highlight: Mastering these concepts is crucial for success in the brevet de maths and forms a solid foundation for more advanced mathematical studies.