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Prerequisites
- N7a – Calculating with roots and with integer indices
- N7b – Calculating with fractional indices
- N2f – Applying the four operations to fractions
- A4a – Simplifying and manipulating algebraic expressions
- A4f – Multiplying and dividing algebraic fractions
- A17a – Solving simple linear equations in one unknown algebraically (for Part 5)
- A17b – Solving linear equations in one unknown algebraically where the unknown is on both sides of the equation (for Part 5)
- A18a – Solving quadratic equations by factorising (for Part 5)
Part 1 – Indices basics
Make sure you are comfortable with topics N7a and N7b before starting on this.
Teacher resources for Part 1
Part 2 – Index laws: Multiplication of powers
Teacher resources for Part 2
Links to past exam questions
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Part 3 – Index laws: Division of powers
Teacher resources for Part 3
Links to past exam questions
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Part 4 – Index laws: Raising a power to a power
Teacher resources for Part 4
Links to past exam questions
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Part 5 – Solving equations involving indices
Teacher resources for Part 5
Links to past exam and UKMT questions
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Interactive applet: writing as a single power
This applet generates questions that can be answer these questions without using a calculator. Just look for clever ways to rewrite certain products and factorise sums!
What next?