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4024/12 Oct/Nov 2020, Question 12: Index Laws with Letters

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

Simplify two algebraic expressions: a power of a product, and a division involving fractions and powers.

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

Part (a) · 1 mark

Simplify (2x²)³.

  1. 1(2x²)³ = 2³ × (x²)³ = 8x⁶

Answer8x⁶

Part (b) · 2 marks

Simplify 6t³ ÷ ((2/3)t²).

  1. 16 ÷ 2/3 = 6 × 3/2 = 9
  2. 2t³ ÷ t² = t
  3. 36t³ ÷ ((2/3)t²) = 9t

Answer9t

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Also searched as: 4024/12/O/N/20 · 4024_w20_qp_12 · 4024 w20 12 · question 12.
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