Which expression is equal to 2³ × 2²?
Launching your learning experience…
Exam Season Offer 🎯 Sign up today & get 15% OFF on Yearly Plan
Practise IGCSE 0580 questions in the style of recent Extended past papers, organised by syllabus subtopic. Each set comes with an examiner-style mark scheme and a downloadable worksheet.
Everything students ask about Cambridge IGCSE 0580 Indices I Topical Past Papers.
Top questions students ask on this sub-topic
These Indices I Topical Past Paper Questions are written in the style of recent Cambridge IGCSE Mathematics 0580 Extended papers and grouped by the Number (E1.7) section of the 2025–2027 syllabus. Use them to revise the exact skills examiners test in this part of the course.
Each question is graded Easy → Medium → Hard, plus an A★ Challenge for top-grade preparation. Tap a question to mark your own answer, then unlock the examiner-style mark scheme with model solutions and examiner tips. A printable Topical Past Papers worksheet is included so you can practise offline.
Understand and use indices and the rules of indices. Core candidates work with positive, zero and negative integer indices; Extended candidates also handle fractional indices.
Which expression is equal to 2³ × 2²?
Find the value of 5⁰.
[1 mark]Simplify (3⁴ × 3⁵) ÷ 3². Give your answer in index form.
[2 marks]Find the value of 4⁻². Give your answer as a fraction.
[2 marks]What is the value of 8^(1/3)?
Find the value of 16^(3/4).
[2 marks]Find the value of 27^(-2/3). Give your answer as a fraction.
[1 mark]Simplify fully (2x³)⁴ ÷ (4x²). Give your answer in index form.
[3 marks]Solve 2^(x + 1) = 16.
[2 marks]