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.
Revise the laws of exponents and learn how to use prime bases, factorisation, rational exponents and equations with exponents.
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Revise what exponents mean, identify the base and exponent, and work with powers, squares, cubes and roots.
Revise exponent laws 1–3: multiplying and dividing powers with the same base and raising a power to a power.
Revise exponent laws 4 and 5, including raising products and fractions in brackets to a power.
Learn why a zero exponent gives 1 and how negative exponents represent reciprocals, then apply these rules to examples.
Learn how to simplify square roots and cube roots using exponent rules by dividing exponents by the root index.
Practise simplifying expressions with negative exponents step by step and rewrite final answers using positive exponents.
Work through more practice examples with negative exponents, apply the exponent laws correctly and write final answers with positive exponents.
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Learn how to rewrite composite numbers using prime bases so that exponent laws can be applied to simplify expressions.
Work through more Grade 10 examples by changing numbers to prime bases first and then simplifying with the exponent laws.
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Learn how to simplify exponent fractions with more than one term by factorising first and cancelling only common factors.
Continue simplifying exponent fractions with more than one term by rewriting powers, factorising first and only then cancelling common factors.
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Learn what rational exponents mean, connect fractional powers to roots and simplify introductory examples using exponent laws.
Learn how to apply exponent laws to rational exponents, simplify brackets, work with negative exponents and avoid common mistakes.
Continue simplifying rational exponent expressions using exponent laws and work through further Grade 10 examples step by step.
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Learn how to solve exponential equations by rewriting both sides with the same base and equating the exponents.
Learn how to solve exponential equations with more than one exponential term by factorising first and then using equal bases.