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0580/31 May/Jun 2026, Question 2: Laws of Indices

Cambridge IGCSE Mathematics 0580 · Paper 31 (Core) · Calculator · 2 marks

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The question, in short

Two short arithmetic items: express a repeated multiplication of 7 as a power, and evaluate the square of 17.4.

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

Part (a) · 1 mark

Rewrite the product of six factors of 7 as a single power of 7.

  1. 1There are six 7s multiplied together
  2. 27 × 7 × 7 × 7 × 7 × 7 = 7⁶

Answer7⁶

Part (b) · 1 mark

Work out the value of 17.4 squared.

  1. 117.4² = 17.4 × 17.4
  2. 2= 302.76

Answer302.76

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Also searched as: 0580/31/M/J/26 · 0580_s26_qp_31 · 0580 s26 31 · question 2.
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