Aptitude :: Surds and Indices

Laws of Indices:

1. a^m x aⁿ = a^{m + n}

2. am	= am - n
   an

3. (a^m)ⁿ = a^mn

4. (ab)ⁿ = aⁿbⁿ

5. 	a		n	=	an
   	b				bn

6. a⁰ = 1

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.

Laws of Surds:

1. a = a^(1/n)

2. ab = a x b

3. 	=	a
   		b

4. (a)ⁿ = a

5. 

6. (a)^m = a^m