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Exponents and their properties

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If b is an integer, and x is a whole number, then

       b^{x} = b . b . b . b …… b.

bracket

b appears as a factor x times

exponents and their properties

Example: 2^{3}. 2^{5}= 2^{ 3+5} = 2^{8}

exponents and their properties

Example: 7^{0} = 1

exponents and their properties

Example: \frac{3^{8}}{3^{4}}} = 3^{8-4} = 3^{4}

exponents and their properties

Example: (2^{2})^{3} = 2^{2.3} = 2^{6}

exponents and their properties

  CHECK POINT

  1. 4.4^3
  2. 2.2^4.2^2
  3. (\frac{4^3}{4^2})
  4. 2^3.(2^3)^3
  5. (\frac{1}{5.5^2})^0
Answer key
  1. 44
  2. 27
  3. 4
  4. 212
  5. 1

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