CAIE IGCSE Mathematics Extended E2.4 Indices II Question Bank

Practise simplifying expressions with positive, negative and fractional indices, and solving index equations using a common base.

Syllabus
2028–2030
Topic
E2.4
Level
Extended

Exam points

  • simplify products, quotients and powers by adding, subtracting or multiplying indices
  • rewrite both sides with a common base before solving for the unknown exponent
  • find algebraic LCMs by comparing prime factors and the highest variable powers

Covered syllabus points

E2.4.1 Understand and use indices (positive, zero, negative and fractional).E2.4.2 Understand and use the rules of indices

E2.4 Indices II question 1

[Maximum number: 1]

2p1/3=62p^{1/3}=6
Find the value of p.
p=

E2.4 Indices II question 2

5n+5n+5n+5n+5n=5m5^n+5^n+5^n+5^n+5^n=5^m
Find an expression for m in terms of n.

All question bank results loaded