Use index laws
- Check the bases are the same.
- Choose the correct index law.
- Simplify the powers.
Answer: a⁴ × a³ = a⁷
🔢 Number
Powers
Learn powers with a GCSE-style explanation, help guide, worked example, practice question and flashcards.
Global XP
Level 10 / 100 XP
1. Explanation
Key idea
- Powers is part of number and appears often in KS3–GCSE maths.
- Indices show repeated multiplication and follow index laws.
- Use the worked model, help guide, interactive question and flashcards to practise powers until the steps feel automatic.
Real-life examples
- Shopping, sport, travel, science, design and everyday decisions all use this skill.
2. Visual
Powers learning map
Understand the key idea → follow the help guide → practise a question → check your method → build speed with flashcards.
3. Help guide
How to tackle Powers
- Learn the rule: Indices show repeated multiplication and follow index laws.
- Worked model: Check the bases are the same. Choose the correct index law. Simplify the powers.
- Try the interactive question without looking at the answer first.
- Use the flashcards to test the rule, the method and a common check.
4. Worked examples
Step-by-step working
5. Interactive questions
Try it yourself
Simplify 2³ × 2².
6. Flashcards
Master quick recall
Flip each card, then choose whether you know it or need more practice.
0 mastered
FrontRule for Powers
BackIndices show repeated multiplication and follow index laws.
FrontExample answer: Simplify 2³ × 2².
Back2³ × 2² = 2^(3+2) = 2^5.
FrontCommon check for Powers
BackCheck units/notation, compare with an estimate, and make sure the answer matches the question.
7. Finish
Complete this topic
When you have read the examples, tried the question and reviewed flashcards, claim your topic completion XP.