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4024/11 Oct/Nov 2023, Question 11: Laws of Indices

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

Evaluate two numerical expressions: one combining a square and a cube root, and one multiplying powers of 5.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 1 mark

Work out the value of 4² + ∛27.

  1. 14² = 16, ∛27 = 3
  2. 216 + 3 = 19

Answer19

Part (b) · 2 marks

Work out the value of 5⁻¹ × 5³.

  1. 15⁻¹ × 5³ = 5^(−1 + 3) = 5²
  2. 2= 25

Answer25

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Also searched as: 4024/11/O/N/23 · 4024_w23_qp_11 · 4024 w23 11 · question 11.
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