4MA1/2H Jan 2020, Question 1: Laws of Indices
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 3 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Simplify two index expressions: a quotient of powers of x, and a product divided by a power, written as one power of 7.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 1 mark
Simplify x⁹ divided by x².
- 1Dividing powers of the same base means subtracting the indices
- 2x⁹ ÷ x² = x^(9 − 2)
- 3= x⁷
Answerx⁷
Part (b) · 2 marks
Write (7⁸ × 7⁴) ÷ 7³ as a single power of 7.
- 17⁸ × 7⁴ = 7¹²
- 27¹² ÷ 7³ = 7⁹
Answer7⁹
Stuck on a step? Read the free lesson: Laws of Indices
Practise more laws of indices questions
Real 4MA1 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: 4MA1 2H January 2020 · 4MA1/2H · 4ma1 jan20 2h · question 1.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.