If `.^(m+n)P_(2)=90 and .^(m-n)P_(2)=30`, find the value of m and .

If "^(2n+1)P_(n-1):^(2n-1)P_n=3:5, then find the value of 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))

If (a^(m))^(n)=a^(m).a^(n) , find the value of : m(n - 1) - (n - 1)

if .^(m+n) P_(2)=56 and .^(m-n)P_(3)=24 , then (.^(m)P_(3))/(.^(n)P_(2)) equals

Let {t_(n)} is an A.P If t_(1) = 20 , t_(p) = q , t_(q) = p , find the value of m such that sum of the first m terms of the A.P is zero .

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

In Figure, find the measure of /_M P N

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

If the sum of n terms of an A.P. is 3n^2+5 and its m^(t h) term is 164, find the value of m.