Properties of exponents

Properties of Exponents:
The following properties are very essential in solving exponents,
1. Property for the product exponents with same base,

a^m * aⁿ = a^m+n, provided a b

2. Property of exponents with zero superscript,

a⁰ = 1, provided a 0

3. Property for exponemts in fraction form,

= a^m * a^-n , provided a 0

4. Property for exponents with whole superscript,
(ab)^m = a^m * b^m , provided a b
5. Property for exponents with negative superscript,

a^-m = provided a 0

6. Property for exponents with common superscript when the terms are in product,

(a^mb^mc^m) = (a*b*c)^m ,

(a^m/b^m) = ( )^m , provided a b

7. Property for exponents with radicals,

= x

(a^m)ⁿ= a^{mn
I hope the above explanation was useful, now let me explain about dividing radicals.}