If m is negative or positive and greater than 1 , show that `1^(m)+3^(m)+5^(m)+….+(2n-1)^(m) gt n^(m+1)`

If mgt1 and ninN , such that 1^(m)+2^(m)+3^(m)+...+n^(m)gtn((n+1)/(k))^(m) Then, k=

If m>1,n in N show that 1^(m)+2^(m)+2^(2m)+2^(3m)++2^(nm-m)>n^(1-m)(2^(n)-1)^(m)

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

If 1+99^(n), n being an odd positive integer greater than 1, is divisible by 10^(m), then largest m is equal to

Statement-1: 1^(3)+3^(3)+5^(3)+7^(3)+...+(2n-1)^(3)ltn^(4),n in N Statement-2: If a_(1),a_(2),a_(3),…,a_(n) are n distinct positive real numbers and mgt1 , then (a_(1)^(m)+a_(2)^(m)+...+a_(n)^(m))/(n)gt((a_(1)+a_(2)+...+a_(b))/(n))^(m)

If m,n are the positive integers (n gt 1) such that m^n = 121 , then value of (m-1)^(n +1) is :

If m and n are positive integers such that (m-n)^(2)=(4mn)/((m+n-1)) , then how many pairs (m, n) are possible?