0580/12 Oct/Nov 2022, Question 20: Laws of Indices
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 2 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Two short index questions: solve for x in 5⁸ ÷ 5ˣ = 5², and simplify the expression (x⁵)³.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 1 mark
Use the division law of indices to find the value of x in 5⁸ ÷ 5ˣ = 5².
- 18 − x = 2
- 2x = 6
Answer6
Part (b) · 1 mark
Simplify (x⁵)³ by applying the power rule for indices.
- 1(x⁵)³ = x⁵ˣ³ = x¹⁵
Answerx¹⁵
Stuck on a step? Read the free lesson: Laws of Indices
Practise more laws of indices questions
Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on laws of indices
Also searched as: 0580/12/O/N/22 · 0580_w22_qp_12 · 0580 w22 12 · question 20.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.