Paper 1 · Number Theory
Lesson 4 of 5
LCOL Number Theory 4: Powers
This tutorial is for members
Read the lesson notes free below — subscribe to watch the full worked video and download the PDF.
Subscribe for full access · €199/yrYou’ll learn
- Use the five rules of powers from page 21 of the log tables
- Rewrite a root as a fractional power (√a = a^½, ³√a = a^⅓)
- Express a number in the form aⁿ
Formula used
Rules of powers
aᵐ × aⁿ = aᵐ⁺ⁿ
aᵐ ÷ aⁿ = aᵐ⁻ⁿ
(aᵐ)ⁿ = aᵐⁿ
a⁰ = 1 a⁻ᵐ = 1/(aᵐ)
√a = a^½ ∛a = a^⅓
On page Page 21 of the log tables of the log tables — read it off, don’t memorise.💬 Stuck on something in this lesson?
Send your question with this lesson’s name attached — you’ll get a reply by email.