" 21.If "x^(-((p)/(q)))=((1)/(x))^(k)" then "k=

If ((x^(m)xx x^(n))/x^(p))^(q)=x^(k) , then k= ________.

If P -= ((1)/(x_(p)), p ), Q = ((1)/(x_(q)),q), R = ((1)/(x_(r)), r) where x _(k) ne 0 , denotes the k^(th) terms of a H.P. for k in N , then :

If (x^(3)+(1)/x^(3)-k)^(2)+(x+""_(1)/(x)-p)^(2)=0 where k and p are real numbers and xne0 , then (k)/(p) is equal to :

If p is nearly equal to q and n gt 1 , such that ((n+1) p+(n-1)q)/((n-1)p+(n +1)q) = ((p)/(q))^(k) , then the value of k, is

If p is nearly equal to q and n gt 1 , such that ((n+1) p+(n-1)q)/((n-1)p+(n +1)q) = ((p)/(q))^(k) , then the value of k, is

If a^(p/q)=root(q)(k) , then k= _______.