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Exponents
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Unit 2 Exponents Curriculum Statement Revise all laws of exponents learnt in Grade 9 Use the laws of exponents to simplify expressions and solve equations.
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Table of contents Applications of Laws of Exponents Solving Exponential Equations Multiplication and Division of Polynomials with one or more terms
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Exponential Laws
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Applications of Laws
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continued
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Examples
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Test your knowledge
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Question Simplify - ( - 3 )2 Answer A)9B) - 9 C) - 6D) 6
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Exponential Equations An equation of the type: a x = b is called a exponential equation. There are two methods to solve exponential equations. 1. Write the equation in the form a x = a b then make use of the fact that x = b or 2. Write the equation in the form a x = k, if k is not a power of a, then use the trial and improvement method to find an approximate solution for x.
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Exponential Equations
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Test your knowledge Question Solve for x: (-3) x = 9 Answer A)2B) - 2 C) 3D) -3
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Test your knowledge Question Solve for x: x 4 =16 Answer A)±2 B) 2 C) -2 D) No Solution
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Simplify expressions using Laws One term: Factorise the bases into prime factors and simplify. More than one term in the numerator or denominator: Factorise the bases into prime factors simplify and factorise.
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Multiplication and division with one term 1. Example One term: Factorise the bases into prime factors and simplify.
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Multiplication and division with more than one term Example More than one term in the numerator or denominator; Factorise the bases into prime factors Simplify and factorise
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Test your Knowledge Question Simplify 5 2n+1.5 2n-2.5 5 4n-2 Answer A)5 B) 10 C) 25 D) 15
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Test your Knowledge Question Simplify 3 n + 3 n+2 3 n-1 Answer A)15 B) 10 C) 30 D) 9
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