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Cambridge IGCSE Mathematics practice

exam practice - Comprehend and apply indices, including positive, zero, negative, and fractional values. For example, solve equations like x • 32 = 2 x + 1 and x • 5 = 25. Additionally, grasp and utilize the rules governing indices, such as simplifying expressions like 2^3 - 4^1 • x or x^2 • x^3 • x^2 • x^(-2) • x^5. Note that knowledge of logarithms is not necessary. - Indices II

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Indices II

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Paper 2Core or Extended Mathematics2 marks

Simplifying expressions using index laws

Description

Simplify an expression

Simplify the expression: x^2 × x^3 × x^2 × x^(−2) × x^5.

  1. a

    Work out Simplify the expression and write your answer with a single power of x.

    Aim for approximately 2 distinct marking points.

    [2]

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  • Topic focus: Indices II.
  • Question style: structured_mathematics.
  • Reasoning demand: reasoning.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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Paper 2 structured question: Indices II

Paper 2Core or Extended Mathematics3 marks

Description

Equation with indices

Solve for x in the equation: x × 5 = 25.

  1. a

    Calculate Find the value of x.

    Aim for approximately 3 distinct marking points.

    [3]