Exam-style question
Try this first
B1: Explain how to approach the laws of indices for all rational exponents in an AQA A-level Mathematics question. Your answer should identify the method, the key notation and one check on the final result.
Model answer
What a good answer should say
- Start by checking that the powers share the same base before applying an index law.
- The method is to apply the relevant index law and keep the base and exponent roles clear.
- The working should name the relevant notation, show one clear operation or logical step at a time, and finish with a statement that matches the question demand.
- A useful check is to substitute, compare with the graph or verify the domain/range/interval conditions where they apply.
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..
This exam-style item is anchored to B1 because it tests method selection and reasoning for the laws of indices for all rational exponents, not a disconnected routine skill. It rewards precise notation, visible working and a final conclusion that follows from the stated pure mathematics method.
Maths method check
- Topic focus: Pure Mathematics.
- Question style: exam_style.
- Reasoning demand: recall.
- Check the operation, notation, units, and final answer form against the question before moving on.
Common mistake
No common mistake is linked to this question yet.