4024/22 May/Jun 2026, Question 15: Laws of indices
Cambridge O Level Mathematics 4024 · Paper 22 (Calculator) · Calculator · 4 marks
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The question, in short
Simplify three expressions using the rules of indices.
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Part (a) · 1 mark
Simplify a⁵ × a³.
- 1Add the powers: 5 + 3 = 8
- 2a⁸
Answera⁸
Part (b) · 1 mark
Simplify b ÷ b⁶.
- 1Subtract the powers: 1 − 6 = −5
- 2b⁻⁵
Answerb⁻⁵ or 1/b⁵
Part (c) · 2 marks
Simplify (4x/y²)³.
- 14³ = 64
- 2x³ and (y²)³ = y⁶
- 364x³/y⁶
Answer64x³/y⁶
Stuck on a step? Read the free lesson: Index Laws with Letters
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Also searched as: 4024/22/M/J/26 · 4024_s26_qp_22 · 4024 s26 22 · question 15.
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