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MCQ 2 - B1 Understand and use the laws of indices for all rational exponents. - Pure Mathematics

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

MCQ

Type

practice

Style

Topic

Pure Mathematics

Exam-style question

Try this first

What is the safest exam approach for the laws of indices for all rational exponents?.

  1. A.B1: justify each step using the relevant algebra and functions rule
  2. B.Use any familiar GCSE calculation even if it ignores the laws of indices for all rational exponents
  3. C.Write only the final answer without showing the mathematical method
  4. D.Change the notation or restrictions to make the algebra look simpler

Model answer

What a good answer should say

  • The correct answer is B1: justify each step using the relevant algebra and functions rule.
  • This option is best because apply the relevant index law and keep the base and exponent roles clear, then checks that the notation, restrictions and conclusion match the AQA A-level Mathematics objective.

This answer is tied to the objective: B1 Understand and use the laws of indices for all rational exponents..

Explanation

Why this works

Use the explanation to connect the worked answer back to B1 Understand and use the laws of indices for all rational exponents..

B1: justify each step using the relevant algebra and functions rule is the correct option. It directly supports the laws of indices for all rational exponents by requiring the student to apply the relevant index law and keep the base and exponent roles clear.

The other options are weaker because they hide the reasoning, ignore restrictions, or use a generic calculation that may not fit the objective.

Maths method check

  • Topic focus: Pure Mathematics.
  • Question style: practice.
  • Reasoning demand: understanding.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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