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4MA1/2HR Jun 2020, Question 10: Zero and Negative Indices

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 2 marks

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The question, in short

Two short index questions: solve 150ˣ = 1 for x, and use 3⁻⁸ ÷ 3⁻⁶ = 3ⁿ to find n.

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Part (a) · 1 mark

State the value of x for which 150 raised to the power x equals 1.

  1. 1150ˣ = 1
  2. 2Any non-zero number raised to the power 0 is 1
  3. 3x = 0

Answer0

Part (b) · 1 mark

Find n given that 3⁻⁸ divided by 3⁻⁶ equals 3ⁿ.

  1. 13^(−8) ÷ 3^(−6) = 3ⁿ
  2. 23^(−8 − (−6)) = 3ⁿ
  3. 33^(−8 + 6) = 3ⁿ
  4. 43^(−2) = 3ⁿ
  5. 5n = −2

Answer−2

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