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## Homework Statement

n is an element of the Natural numbers, and n [itex]\geq5[/itex], then 4^n [itex]\geq(n^4)[/itex]

## Homework Equations

Base case: n=5, then 4^5=1024 >or= 5^4=625 as required.

## The Attempt at a Solution

Inductive step, assume k is an element of Natural numbers and 4^k > or = k^4.

Then we must show 4^(k+1) > or = (K+1)^4

What's the trick to showing this?