Exponents

Revise the laws of exponents and learn how to use prime bases, factorisation, rational exponents and equations with exponents.

01aᵐ × aⁿRevision: Grade 8 & 9 Revision

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Exponents Revision : What Exponents Mean | Grade 10 CAPS Math
VIDEO 01

Exponents Revision : What Exponents Mean | Grade 10 CAPS Math

Revise what exponents mean, identify the base and exponent, and work with powers, squares, cubes and roots.

Exponent Laws Revision : Part 1 | Grade 10 CAPS Maths | Exponent Laws 1 - 3
VIDEO 02

Exponent Laws Revision : Part 1 | Grade 10 CAPS Maths | Exponent Laws 1 – 3

Revise exponent laws 1–3: multiplying and dividing powers with the same base and raising a power to a power.

Exponent Laws Revision : Part 2 | Grade 10 CAPS Maths | Exponent Law 4 & 5
VIDEO 03

Exponent Laws Revision : Part 2 | Grade 10 CAPS Maths | Exponent Law 4 & 5

Revise exponent laws 4 and 5, including raising products and fractions in brackets to a power.

Zero and Negative Exponents Explained | Grade 10 CAPS Maths Revision
VIDEO 04

Zero and Negative Exponents Explained | Grade 10 CAPS Maths Revision

Learn why a zero exponent gives 1 and how negative exponents represent reciprocals, then apply these rules to examples.

How to Simplify Roots with Exponents | Grade 10 CAPS Math Revision
VIDEO 05

How to Simplify Roots with Exponents | Grade 10 CAPS Math Revision

Learn how to simplify square roots and cube roots using exponent rules by dividing exponents by the root index.

How to Simplify Negative Exponents | Practice Questions | Grade 10 CAPS Maths Revision
VIDEO 06

How to Simplify Negative Exponents | Practice Questions | Grade 10 CAPS Maths Revision

Practise simplifying expressions with negative exponents step by step and rewrite final answers using positive exponents.

How to Simplify Negative Exponents 2 | Practice Examples | Grade 10 CAPS Maths Revision
VIDEO 07

How to Simplify Negative Exponents 2 | Practice Examples | Grade 10 CAPS Maths Revision

Work through more practice examples with negative exponents, apply the exponent laws correctly and write final answers with positive exponents.

028 = 2³Convert to a Prime Base

Choose a video lesson to watch on YouTube.

Changing Numbers to Prime Bases | Grade 10 Exponents | CAPS
VIDEO 01

Changing Numbers to Prime Bases | Grade 10 Exponents | CAPS

Learn how to rewrite composite numbers using prime bases so that exponent laws can be applied to simplify expressions.

Changing to Prime Bases | More Practice Examples | Grade 10 Exponents | CAPS
VIDEO 02

Changing to Prime Bases | More Practice Examples | Grade 10 Exponents | CAPS

Work through more Grade 10 examples by changing numbers to prime bases first and then simplifying with the exponent laws.

03aˣ + aʸFactorise (More than One Term)

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Factorising more than one term Introduction | Grade 10 Exponents
VIDEO 01

Factorising more than one term Introduction | Grade 10 Exponents

Learn how to simplify exponent fractions with more than one term by factorising first and cancelling only common factors.

Exponents Factorising More Than One Term Part 2 | Grade 10 CAPS Maths
VIDEO 02

Exponents Factorising More Than One Term Part 2 | Grade 10 CAPS Maths

Continue simplifying exponent fractions with more than one term by rewriting powers, factorising first and only then cancelling common factors.

04aᵐ⁄ⁿRational Exponents

Choose a video lesson to watch on YouTube.

How to Simplify Rational Exponents | Introduction | Grade 10 Exponents | CAPS
VIDEO 01

How to Simplify Rational Exponents | Introduction | Grade 10 Exponents | CAPS

Learn what rational exponents mean, connect fractional powers to roots and simplify introductory examples using exponent laws.

How to simplify Rational Exponents Part 2 | Grade 10 CAPS Maths
VIDEO 02

How to simplify Rational Exponents Part 2 | Grade 10 CAPS Maths

Learn how to apply exponent laws to rational exponents, simplify brackets, work with negative exponents and avoid common mistakes.

How to simplify Rational Exponents Part 3 | Grade 10 CAPS Maths
VIDEO 03

How to simplify Rational Exponents Part 3 | Grade 10 CAPS Maths

Continue simplifying rational exponent expressions using exponent laws and work through further Grade 10 examples step by step.

052ˣ = 8Equations with Exponents

Choose a video lesson to watch on YouTube.

Exponential Equations | Introduction | Grade 10 CAPS Maths
VIDEO 01

Exponential Equations | Introduction | Grade 10 CAPS Maths

Learn how to solve exponential equations by rewriting both sides with the same base and equating the exponents.

Solve Exponential Equations by Factorising | Grade 10 CAPS Maths
VIDEO 02

Solve Exponential Equations by Factorising | Grade 10 CAPS Maths

Learn how to solve exponential equations with more than one exponential term by factorising first and then using equal bases.


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