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4MA1/2FR Jun 2023, Question 22: Zero and Negative Indices

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 2 marks

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The question, in short

Simplify an expression with a zero exponent, then use index laws on a product of powers of 3 to find the value of m.

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

Part (a) · 1 mark

Simplify (4⁻²)⁰.

  1. 1(4⁻²)⁰ is a power raised to the power 0
  2. 2Any non-zero number raised to the power 0 equals 1
  3. 3(4⁻²)⁰ = 1

Answer1

Part (b) · 1 mark

Given 3⁻¹⁴ × 3⁸ = 3ᵐ, find the value of m.

  1. 1When multiplying powers of 3, add the indices.
  2. 2−14 + 8 = −6
  3. 3m = −6

Answer−6

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