Surds and Indices - Arithmetic Aptitude Questions and Answers

Home / Arithmetic Aptitude / Surds and Indices :: Important Formulas

Surds and Indices - Important Formulas

Laws of Indices:
1. a^m x aⁿ = a^m + n
2. \(\frac { a^m} { a^n } \) = a^m - n
3. (a^m)ⁿ = a^mn
4. (ab)ⁿ = aⁿbⁿ
5. \( (\frac { a } { b } )n\) = \( \frac { a^n } { a^n } \)
  vi.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. \(n\sqrt\frac { a } { b }\) = \(\frac { a } { b } \)
4. (a)ⁿ = a
6. (a)^m = a^m

Java Programming Questions and Answers Interview Questions and Answers