Indices & Logarithms

Numbers · O/L Maths

Powers, roots and logarithms, and the laws that connect them.

sub-topics

• Laws of indices
  Multiply, divide and raise powers: aᵐ × aⁿ, aᵐ ÷ aⁿ, (aᵐ)ⁿ.
• Zero and negative indices
  What a⁰ and a⁻ⁿ mean and how to simplify them.
• Fractional indices and surds
  Roots as powers, and simplifying surds.
• Scientific notation
  Writing very large and very small numbers as a × 10ⁿ.
• Logarithms: the idea
  Converting between index form and logarithm form.
• Laws of logarithms
  Product, quotient and power laws of logarithms.
• Using logarithm tables
  Multiplying, dividing and finding roots with log tables.