Surds and Indices :-

Here Some Basic Formulas/Rules Are given below :-

LAWS OF INDICES : 1. a^{m} x a^{n} = a^{m+n} 2. ^{ am} _{= am-n} ^{an} 3. (a^{m})^{n} = a^{mn} 4. (ab)^{n} = a^{n} b^{n} 5._{(a/b)n = } ^{an } ^{bn} 6. a^{0} = 1

SURDS : Let a be a rational number and n be a positive integer such that a^{1/n} = ^{n}√a is irrational. Then, ^{n}√a is called a surd of order n.

LAWS OF SURDS : 1. ^{n}√a = a^{1/n} 2. ^{n}√ab = ^{n}√a X ^{n}√b 3. _{ n√a/b = } ^{ n√a } ^{ n√b } 4. (^{n}√a)^{n} = a 5. (^{n}√a)^{m} = ^{n}√a^{m}