5/9/13 Surds and Indices Important Formulas - Aptitude Questions and Answers

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1. Laws of Indices:

i. am x an = am + n

ii.

am

= am - n

an

iii. (am)n = amn

iv. (ab)n = an bn

v.

a n=an

b bn

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:

i. a = a(1/n)

ii. ab = a x b

iii.

=a

b

iv. ( a)n = a

v.

vi. ( a)m = am