If `m=-2` and `n=3` then find the value of `m^(3)-n^(2)`

If m=root3(125) and n=root3(64) , find the value of m-n-(1)/(m^(2)+mn+n^(2)) .

If m = 1, n = 2 and p = -3, find the value of : 2mn^(4)-15m^(2)n+p

Let T_r denote the rth term of a G.P. for r=1,2,3, If for some positive integers ma n d n , we have T_m=1//n^2 and T_n=1//m^2 , then find the value of T_(m+n//2.)

Let T_r denote the rth term of a G.P. for r=1,2,3, If for some positive integers ma n dn , we have T_m=1//n^2 and T_n=1//m^2 , then find the value of T_(m+n//2.)

The value of (m+n)^2+(m-n)^2 is:

If 3 log sqrtm + 2 log ""^(3) sqrtn = 1. find the value of m^(9) n^(4) .

If m and n are the two natural number such that m^(n)=25 , then find the value of n^(m) :-

Let log x= 2m - 3n and log y = 3n - 2m Find the value of log (x^(3) /y ^(2)) in terms of m and n.

If m,n in N and m=(n^2-n-35)/(n-4) , then find the value of m.

If m = root(3)(15) and n = root(3)(14) , find the value of m - n - (1)/(m^(2) + mn + n^(2))