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Algebraic simplification with indices and fractions

Use the laws of indices with fractions and in algebraic simplification

7 hand-picked video lessons for this topic, each checked for relevance and clarity, graded by difficulty and labelled by depth. Press play to watch — nothing loads from YouTube until you do.

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Grade 5–9 Core 🇬🇧 UK

Fractional Indices - GCSE Higher Maths

1st Class Maths 324K views

Clear UK walkthrough of fractional indices, from 1/n to a/b and powers of fractions.

Jump to 0:15Working with the index 1/n 2:39Working with the index a/b 4:51Raising a fraction to a power 5:47Combining with other index laws

Grade 4–8 Core 🇺🇸 US

Simplifying Exponents With Fractions, Variables, Negative Exponents, Multiplication & Division, Math

The Organic Chemistry Tutor 4M views

Thorough guide to simplifying expressions with fractional, negative and variable exponents.

Grade 2–6 Core 🇬🇧 UK

GCSE Maths - How to Simplify Algebraic Expressions (2026/27 exams)

Cognito 456K views

Simplify algebraic expressions using indices, coefficients and negatives, with clear GCSE examples.

Jump to 1:14Simplifying with Repeated Letters (using indices)2:30Combining Numbers, Letters, and Indices

Grade 5–9 Stretch 🇬🇧 UK

Negative and Fractional Indices (Higher Only) | GCSE Maths Tutor

The GCSE Maths Tutor 316K views

Higher-tier techniques for negative and fractional indices, ideal for harder exam questions.

Grade 3–8 Core 🇬🇧 UK

Indices

Maths Genie 348K views

Full Maths Genie run through the laws of indices including fractional and negative powers.

Grade 3–7 Core 🇬🇧 UK

The Maths Prof: The Rules of Indices / Exponents (part 1)

The Maths Prof 339K views

Several worked examples of the rules of indices applied to algebraic terms.

Grade 6–9 Core 🇬🇧 UK

Simplifying Algebraic Fractions

corbettmaths 592K views

Corbettmaths shows how to cancel down algebraic fractions with typical GCSE examples.