If (m) = 64, where m and n are positive integers, find the value of `n)^(mn)`. .

In a triangle ABC , if (b+c) / 11 = (c+a) / 12 = (a+b) / 13 then cosA / l = cosB / m = cosC / n where l, m, n are least positive integer. Find the value of (l+m+n) .

If 1/(sqrt(2011+sqrt(2011^2-1)))=sqrtm-sqrtn where m and n are positive integers , what is the value of m + n.

The value of sum_(k=0)^(oo)(k^(2))/(4^(k)) can be written as (m)/(n) where m and n are relatively prime positive integers.Then the value of (m+n) is

The number of all pairs (m, n), where m and n are positive integers, such that 1/(m)+1/(n)+1/(mn)=2/(5) is

Evaluate int sinmx sin nx dx , where m and n are positive integers. What happens if m=n?

Liquids A and B are at 30^(@) C and 20^(@) C, respectively. When mixed in equal masses,the temperature of the mixture is found to be 26^(@) C, The specific heats of A and B are in the ratio of m:n , where m and n are integers, then find minimum value of m+n .

If m!=n where m,n are positive integers,then int sin mx sin nxdx=