Exam mix: indices and expansion

2026-12-15Exam & Challenge Ms Chu

Simplify indices then expand or classify identity steps.

Key formulas

\text{Positive indices at the end}

What this lesson covers

This lesson builds Secondary 2–3 skill in exam indices expand. Read the key formulas, study the worked example, then attempt the written practice and the four-question MCQ review.

Method

Write every step. Name the rule you use (exam indices expand) before substituting numbers. Keep units and signs visible until the final sentence.

Common mistakes

Students often rush the sign, use the wrong percentage base, or cancel terms instead of factors. Pause after each line and ask whether the step is reversible.

Exam habit

Underline the question verb (simplify, solve, factorise, find). Box the final answer and, where sensible, substitute back for a quick check.

Worked example

Worked example — exam indices expand

Problem. Apply the method for exam indices expand with the numbers 5 and 6.

Solution. Identify the rule for exam indices expand. Substitute 5 and 6 carefully with signs in brackets if needed. Complete each operation on a new line. State the final answer clearly and check by reversing one step.

Review quiz

1 / 4

Warm-up on exam indices expand: what is 4+5?

Practice questions

Practice 1 on exam indices expand: compute with the value 13.
Practice 2 on exam indices expand: change the numbers and repeat the same method.
Practice 3 on exam indices expand: write one sentence explaining the key rule.
Practice 4 on exam indices expand: invent a similar exam-style question and solve it.

Study notes

What is the main idea of exam indices expand?

Apply the stated formula or rule with clear steps, then check by reversing or substituting.

How should I revise this topic?

Cover the worked example, redo the practice without notes, then complete the MCQ set and log any wrong options.