If `(a^m)^n=a^m.a^n` then find the value of `m(n-1)-(n-1)`

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

If m = 3 and n = 2 find the value of m^n-n^m

If the G.M. of a and b is (a^(n)+b^(n))/(a^(n-1)+b^(n-1)) then find the value of n.

If the G.M. of a and b is (a^(n)+b^(n))/(a^(n-1)+b^(n-1)) then find the value of n.

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

Find the value of sum_(p=1)^n(sum_(m=p)^n.^nC_m.^m C_p)dot And hence, find the value of lim_(n->oo)1/(3^n)sum_(p=1)^n(sum_(m=p)^n.^n C_m.^m C_p)dot

Find the value of sum_(p=1)^n(sum_(m=p)^n^n C_m^m C_p)dot And hence, find the value of (lim)_(nvecoo)1/(3^n)sum_(p=1)^n(sum_(m=p)^n^n C_m^m C_p)dot

Find the value of sum_(p=1)^n(sum_(m=p)^n.^nC_m.^m C_p)dot And hence, find the value of lim_(n->oo)1/(3^n)sum_(p=1)^n(sum_(m=p)^n.^n C_m.^m C_p)dot