Lemmara logoLemmaraWorked solution

0580/23 Oct/Nov 2021, Question 21: Fractional Indices with Letters

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 2 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Simplify the expression (243y¹⁰)^(3/5) fully, giving the answer in its simplest form.

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

Solution · 2 marks

  1. 1243^(1/5) = 3, so 243^(3/5) = 3³ = 27
  2. 2(y¹⁰)^(3/5) = y⁶
  3. 327y⁶

Answer27y⁶

Stuck on a step? Read the free lesson: Fractional Indices with Letters

Practise more fractional indices with letters questions

Real 0580 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 fractional indices with letters

Also searched as: 0580/23/O/N/21 · 0580_w21_qp_23 · 0580 w21 23 · question 21.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.