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Surds and Indices - ( Arithmetic Aptitude)

  1. Laws of Indices:
    1. amxan=am+n
    2. am =am-n
      an
    3. (am)n=amn
    4. (ab)n=anbn
    5. a n = an
      b bn
    6. a0= 1
  2. Surds: Letabe rational number andnbe a positive integer such thata(1/n)=a Then,ais called a surd of ordern.
  3. Laws of Surds:
    1. a=a(1/n)
    2. ab=axb
    3. = a
      b
    4. (a)n=a
    6. (a)m=am