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0580/11 Oct/Nov 2023, Question 16: Index Laws with Letters

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 3 marks

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The question, in short

Simplify two algebraic expressions involving powers: a product of n terms and a division of x terms with coefficients.

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

Part (a) · 1 mark

Simplify n⁵ × n by combining the powers of n.

  1. 1n⁵ × n¹ = n⁶

Answern⁶

Part (b) · 2 marks

Simplify 8x⁶ ÷ 2x², dividing coefficients and subtracting powers of x.

  1. 18 ÷ 2 = 4, x⁶ ÷ x² = x⁴
  2. 2= 4x⁴

Answer4x⁴

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Also searched as: 0580/11/O/N/23 · 0580_w23_qp_11 · 0580 w23 11 · question 16.
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