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

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

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

First law If a is a non-zero rational number and mn are integers then a^(m)a^(n)=a^(m+n)

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

Third law If a is a non-zero rational number and mn are integers then (a^(m))^(n)=a^(mn)=(a^(n))^(m)

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

Second law If a is a non-zero rational number and mn are integers then a^(m)-:a^(n)=a^(m-n) or (a^(m))/(a^(n))=a^(m-n)

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

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