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$GCSE Mathematics lesson on fractional powers and indices featuring Evaluate, Simplify, and Prove tasks. Examples include simplifying (x^6w^10/25)^(3/2) using fractional index laws and evaluating 2^3 × 8^(2/3) √8. This differentiated approach builds fluency with rational exponents, surds, and index notation. Perfect for Edexcel, AQA, OCR GCSE maths students mastering fractional indices, powers of fractions, and algebraic simplification.$

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Indices with Fractional Powers

Description

In this lesson, students explore how to use reciprocals to evaluate indices with fractional and decimal powers. Starting with square and cube numbers and their corresponding roots, students gradually progress to more complex expressions, including those where the base is a fraction.

Scheme of Work Link

GCSE Higher Mathematics | IGCSE Higher Mathematics

Differentiated Learning Objectives

All students will be able to evaluate expressions in index form with simple fractional powers, such as 1/2, 1/3, and 1/4.
Most students will be able to evaluate expressions in index form with any fractional power.
Some students will develop the skills to solve equations where the unknown is in the index position.