Arithmetic Aptitude :: Surds and Indices
Surds and Indices - Important Formulas
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Laws of Indices:
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am x an = am + n
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\(\frac { a^m} { a^n } \) = am - n
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(am)n = amn
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(ab)n = anbn
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\( (\frac { a } { b } )n\) = \( \frac { a^n } { a^n } \)
vi.a0 = 1
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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.
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Laws of Surds:
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a = a(1/n)
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ab = a x b
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\(n\sqrt\frac { a } { b }\) = \(\frac { a } { b } \)
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(a)n = a
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(a)m = am
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