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

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

Fifth law If ab are non-zero rational numbers and n is an integer then ((a)/(b))^(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 is any non -zero rational number andmn are natural numbers then a^(m)xx a^(n)=a^(m)+n

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

If (a)/(b) is a rational number and n is a natural number then ((a)/(b))^(n)=(a)/(b)xx(a)/(b)xx(a)/(b)xx(a)/(b)xx....xx(a)/(b)=(a xx a xx a xx a xx...xx a)/(b xx b xx b xx b xx......xx b)=(a^(n))/(b^(n))

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

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