EXP001 · Powers, exponents & logarithms · Classes 6–9
Exponents Basics
An exponent tells how many times the base is used as a factor. Each step up multiplies by the base, so powers grow very quickly.
2⁵Exponents Basics
📐 Formula
bⁿ = b × b × … × b (n times); b⁰ = 1
✏️ Worked example
2⁵ = 2 × 2 × 2 × 2 × 2 = 32.
🌍 Where it is used
Computer memory (2¹⁰ = 1024), cell division and compound interest.
❓ Quick check
What is 3⁴?
🏋️ Practice
Easy2³ = ?
Answer: 8
MediumWrite 5 × 5 × 5 × 5 as a power.
Answer: 5⁴
ChallengeWhich is bigger, 2¹⁰ or 10³?
Answer: 2¹⁰ = 1024 > 1000