If a is any real number and m;n are positive integers; then (i) `(ab)^p = a^p b^p` (ii) `(a/b)^p = a^p/b^p; b!=0`

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

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

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

If P is a prime number and P divides ab i.e., P|(ab) where a and b are integers, then

If a,b, p in N and p is prime, then (a +b)^(p) - a^(P) -b^(p) is divisible by

If p is a positive fraction less than 1, then (a) (1)/(p) is less than 1( b ) (1)/(p) is a positive integer (c) p^(2) is less than p(d)(2)/(p)-p is a positive number

If A and B are any two events such that P(A) + P(B) - P (A and B) = P(A) , then

If three distinct real number a,b and c satisfy a^(2)(a+p)=b^(2)(b+p)=c^(2)(c+p), where p varepsilon R, then value of bc+ca+ab is :