Indices II: past paper questions

Where the questions come from

• Question 23May/June 2026, paper 12Structured3 marks

  Find the value of $x$.

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• Question 21Oct/Nov 2025, paper 11Structured4 marks

  Evaluate. $${27}^{-\frac{2}{3}}$$

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• Question 20Oct/Nov 2024, paper 11Structured2 marks

  $$(a{x}^n{)}^3=4x^{10}$$ Work out the value of $a$ and the value of $n$.

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• Question 25May/June 2023, paper 11Structured2 marks

  $$(a{x}^b{)}^3=27x^4$$ Find the value of $a$ and the value of $b$.

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• Question 15May/June 2026, paper 22Structured4 marks

  Simplify. $$a^5\times a^3$$

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• Question 19Oct/Nov 2025, paper 12Structured4 marks

  Evaluate ${16}^{-\frac{3}{4}}$.

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• Question 14May/June 2023, paper 12Structured4 marks

  Write 325 as a product of its prime factors.

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• Question 10May/June 2025, paper 22Structured2 marks

  Simplify. $$\frac{7x^2{y}^5}{x^3{y}^2}$$ Simplify.

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• Question 20Oct/Nov 2024, paper 12Structured4 marks

  Simplify. $$(16a^{20}{)}^{\frac{3}{4}}$$

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• Question 20May/June 2023, paper 12Structured4 marks

  Expand and simplify.

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• Question 18May/June 2024, paper 12Structured3 marks

  Evaluate ${125}^{-\frac{1}{3}}$.

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