4MA1/2H Jan 2021, Question 11: Zero and Negative Indices with Letters
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 3 marks
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The question, in short
Simplify the expression (9t⁴w⁹ ÷ (18t⁶w¹⁰)) raised to the power −2, giving the result in its simplest form.
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Solution · 3 marks
- 1Simplify inside the bracket first: 9/18 = 1/2
- 2t⁴ ÷ t⁶ = t⁻² and w⁹ ÷ w¹⁰ = w⁻¹
- 3So the bracket simplifies to 1/(2t²w)
- 4A power of −2 turns the fraction over and squares it, giving (2t²w)²
- 5(2t²w)² = 4t⁴w²
Answer4t⁴w²
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