Curriculum
Course: Mathematics — Second Preparatory
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Curriculum

Mathematics — Second Preparatory

Unit 1: Real Numbers

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Unit 2: Algebra

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Unit 3: Geometry

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Unit 4: Statistics

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Text lesson

Laws of Exponents

Mathematics — Second Preparatory

Laws of Exponents

Worked examples

Worked examples

Comparison aspectMain ideaKeywords
Example 1Simplify 23 × 24.Simplify
SolutionThe bases are equal, so we add the exponents: 23+4 = 27 = 128.basesequalexponents
Example 2Simplify 36 ÷ 32.Simplify
SolutionSubtract the exponents: 36−2 = 34 = 81.Subtractexponents
Example 3Find the value of (23)2, then find the value of (2 × 5)3 ÷ 52.Findvaluethen
Solution(23)2 = 26 = 64. Also (2 × 5)3 ÷ 52 = 23 × 53 ÷ 52 = 8 × 51 = 40.
Example 4Find the value of 2−3 + (3/2)−2.Findvalue
Solution2−3 = 1/8 and (3/2)−2 = 4/9. So the sum is 1/8 + 4/9 = 9/72 + 32/72 = 41/72.
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