Lemmara logoLemmaraWorked solution

4024/22 May/Jun 2025, Question 10: Index Laws with Letters

Cambridge O Level Mathematics 4024 · Paper 22 (Calculator) · Calculator · 2 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Simplify the algebraic fraction 7x²y⁵ divided by x³y², giving the result in its simplest form.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Solution · 2 marks

  1. 1x² ÷ x³ = x⁻¹, y⁵ ÷ y² = y³
  2. 2= 7x⁻¹y³ = 7y³/x

Answer7y³/x or 7y³x⁻¹

Stuck on a step? Read the free lesson: Index Laws with Letters

Practise more index laws with letters questions

Real 4024 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on index laws with letters

Also searched as: 4024/22/M/J/25 · 4024_s25_qp_22 · 4024 s25 22 · question 10.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.