if a is any rational number different from zero and `mn` are natural numbers 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)

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

If x be any integer different from zero and m, n be any integers, then (x^(m))^(n) is equal to

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

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

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

(m + n) ^ (3) + (mn) ^ (3)