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CAIE IGCSE Mathematics E2.4.2 Understand & use the rules of indices

Practise applying index laws to simplify algebraic powers, compare bases and solve exponential equations without logarithms.

Syllabus
2028–2030
Course
Mathematics 0580
Level
Extended

Exam points

  • simplify products, quotients and powers by applying index laws to each variable
  • rewrite both sides with a common base before equating exponents in an equation
  • use highest prime and variable powers when finding the LCM of algebraic terms

E2.4.2 Understand and use the rules of indices question 1

[Maximum number: 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.

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