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Arithmetic Aptitude :: Surds and Indices

Surds and Indices - Important Formulas

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Surds and Indices - General Questions

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Surds and Indices - [data sufficiency 1]

  1. Laws of Indices:

    1. am x an = am + n

    2. \(\frac { a^m} { a^n } \) = am - n

    3. (am)n = amn

    4. (ab)n = anbn

    5. \( (\frac { a } { b } )n\) = \( \frac { a^n } { a^n } \)

      vi.a0 = 1

  2. Surds:

    Let a be rational number and n be a positive integer such that a(1/n) = a

    Then, a is called a surd of order n.

  3. Laws of Surds:

    1. a = a(1/n)

    2. ab = a x b

    3. \(n\sqrt\frac { a } { b }\) = \(\frac { a } { b } \)

    4. (a)n = a

    6.  (a)m = am

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