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Course: Mathematics — Second Preparatory
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Mathematics — Second Preparatory

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Laws of Exponents

Mathematics — Second Preparatory

Laws of Exponents

Zero and negative exponents

Zero and negative exponents

  • For any real number a that is not zero:
  • a0 = 1. For example, 50 = 1. It follows from the division law: 52 ÷ 52 = 50 = 25 ÷ 25 = 1.
  • a−n = 1 ÷ an. For example, 2−3 = 1 ÷ 23 = 1/8.
  • Note that (3/2)−2 = (2/3)2 = 4/9. A negative exponent turns the fraction upside down.
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