If m and n are the smallest positive integers satisfying the relation `(2CiS pi/6)^m=(4CiSpi/4)^n` , where `i = sqrt(-1), (m+ n)` equals to

If m and n are the smallest positive integers satisfying the relation (2CiS(pi)/(6))^(m)=(4CiS(pi)/(4))^(n), where i=sqrt(-1),(m+n) equals to

If m and n are the smallest positive integers satisfying the relation (2*e^(i(pi)/(6)))^(m)=(4*e^(i(pi)/(4)))^(n), then (m+n) has the value equal to

If n and m (ltn) are two positive integers then n(n-1)(n-2)...(n-m) =

If m and n are positive integers and m ne n , show : int_(0)^(2pi)sinmxsinnxdx=0

If m and n are positive integers such that m^(n) = 1331 , then what is the value of ( m-1)^(n-1) ?

The smallest positive integer n for which ((1-i)/(1+i))^(n^(2)) = 1 where i=sqrt(-1) , is

If n is any positive integer then the value of (i^(4 n+1)-i^(4 m-1))/(2)=

How many pairs of positive integers m and n satisfy the equation (1)/(m) +(4)/(n) =(1)/(12) where n is an odd integer less than 60?

If four different positive integers m,n,p and q satisfy the equation (7-m)(7-n)(7-p)(7-q)=4, then the sum(m+n+p+q) is equal to: