EXP008 · Powers, exponents & logarithms · Classes 7–9
Zero exponent
Any non-zero number to the power 0 equals 1. Each step down in the exponent divides by the base, so a¹ ÷ a = a⁰ = 1.
a⁰ = 1Zero exponent
📐 Formula
a⁰ = 1 (a ≠ 0)
✏️ Worked example
3³ = 27, 3² = 9, 3¹ = 3, so 3⁰ = 3 ÷ 3 = 1.
🌍 Where it is used
Place value: the ones place is 10⁰.
❓ Quick check
What is 2026⁰?
🏋️ Practice
Easy7⁰ = ?
Answer: 1
Medium5⁰ + 5¹ = ?
Answer: 6
ChallengeSimplify a⁴ ÷ a⁴ in two ways.
Answer: a⁰ = 1, and any number divided by itself is 1