if `a b` are non - zero rational numbers and n is a natural number then ` a^nxxb^n =( ab)^n`

If n is a natural number,then

If a and b are non-zero rational numbers and n is a natural number then (a^(n))/(b^(n))=((a)/(b))^(n)

Generalisation : if a is a non - zero rational number and mnp are natural numbers then a^(m)xx a^(n)xx a^(p)=a^(m)+n+p

Reciprocal of a non - zero rational number

IF n is a natural number then sqrtn is

First law if is any non -zero rational number andmn are natural numbers then a^(m)xx a^(n)=a^(m)+n

If n is a natural number, then sqrtn is

Fifth law If ab are non-zero rational numbers and n is an integer then ((a)/(b))^(n)=(a^(n))/(b^(n))