`a^m /a^n ` is equal to

If a ,\ m ,\ n are positive integers, then {root(m)root (n)a}^(m n) is equal to (a) a^(m n) (b) a (c) a^(m/n) (d) 1

if y= x^m then Y n is equal to: (A) frac{m!}{m-n!} x^(m-n) (B) frac{m!}{n-m!} x^(m-n) (C) frac{n!}{m+n!} x^(m+n) (D) frac{n!}{n-m!} x^(m-n)

If m times the mth term of an AP is equal to n times its nth term, then show that (m + n)th term of an AP is zero.

The value of int2^("mx").3^("nx")dx (when m, n in N ) is equal to:

If m,n in N, then the value of int_a^b(x-a)^m(b-x)^n dx is equal to

Show (m+n)th and (m-n)t h terms of an A.P. is equal to twice the mth terms.

In DeltaABC the mid points of the sides AB, BC and CA are (l, 0, 0), (0, m, 0) and (0, 0,n) respectively. Then, (AB^2+BC^2+CA^2)/(l^2+m^2+n^2) is equal to

If the sum of m terms of an A.P. is equal to the sum of either the next n terms or the next p terms, then prove that (m+n)(1/m-1/p)=(m+p)(1/m-1/n)dot

Show that the sum of (m+n)^(t h) and (m-n)^(t h) terms of an A.P. is equal to twice the m^(t h) term.

32. Show that the sum of (m+n)^(th) and (m-n)^(th) terms of an A.P. is equal to twice the m^(th) term