Lemmara logoLemmaraWorked solution

0580/11 May/Jun 2024, Question 20: Zero and Negative Indices

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 2 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Two short index questions: evaluate a number raised to the power zero, and find p from an equation dividing powers of 7.

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

Part (a) · 1 mark

Work out the value of 137 raised to the power 0.

  1. 1Any non-zero number to the power 0 is 1: 137⁰ = 1

Answer1

Part (b) · 1 mark

Given 7¹² ÷ 7ᵖ = 7¹⁷, find the value of p.

  1. 17¹² ÷ 7ᵖ = 7¹²⁻ᵖ, so 12 − p = 17
  2. 2p = −5

Answer−5

Stuck on a step? Read the free lesson: Zero and Negative Indices

Practise more zero and negative indices 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 zero and negative indices

Also searched as: 0580/11/M/J/24 · 0580_s24_qp_11 · 0580 s24 11 · question 20.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.