Imagine the product of $20^{50}$ and $50^{20}$ written as an integer in standard form. how many zeros will be found at the end of this number?
Written as an integer
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elementary-number-theory
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0Do you mean 20^{50} and 50^{20}? – 2012-12-16
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2What have you tried? A zero at the end of this product comes from a factor of $10=2\cdot 5$ in it. So, how many $10$ can you produce? – 2012-12-16
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0This question has nothing to do with either [tag:integer-lattices] or [tag:integer-programming] so I've retagged it. (Of course, if you can think of more appropriate tags, feel free to change the tags I've chosen.) – 2012-12-16