If m>1,n∈N show that 1m+2m+22m+23m++2nm−m>n1−m(2n−1)m˙

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If {m}>{1},{n}{N} show that {1}^{{m}}+{2}^{{m}}+{2}^{{{2}{m}}}

Question

If $m > 1, n \in N$ show that $1^{m} + 2^{m} + 2^{2 m} + 2^{3 m} + + 2^{n m - m} > n^{1 - m} (2^{n} - 1)^{m} ˙$

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m > 1, n \in N

show that

1^{m} + 2^{m} + 2^{2 m} + 2^{3 m} + + 2^{n m - m} > n^{1 - m} (2^{n} - 1)^{m} ˙

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Question Text

m > 1, n \in N

show that

1^{m} + 2^{m} + 2^{2 m} + 2^{3 m} + + 2^{n m - m} > n^{1 - m} (2^{n} - 1)^{m} ˙