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

Fourth law if ab are non -zero rational numbers and n is a natural number then *a^(^^)n=(ab)^(^^)n

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

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

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

2^n gt n , n is a natural number.

Second law if a any non -zero rational number and m and n are natural numbers such that m>n then a^(m)-:a^(n)=a^(m)-n or (a^(m))/(a^(n))=a^(m)-n

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

If n is a natural number, then sqrt(n) is: