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

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

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

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

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)

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

Third luw if a is any rational number different from zero and mn are natural numbers then (a^(m))^(n)=a^(m)-n=(a^(n))^(m)

x^(m)xx x^(n)=x^(m+n) , where x is a non zero rational number and m,n are positive integers.

If a is any real number and m;n are positive integers; then a^(p)xx a^(q)=a^(p+q)