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can you tell me the shortcut of how to solve such question (Question)

amanpreet055 saidFri, 24 Jul 2009 00:16:13 -0000 ( Link )

2005 raise to power 2006 X 2006 raise to power 2007 X 2007 raise to power 2008 X 2008 raise to power 2009

in the following multiplication problem what is the digit at the unit place in the final product

ans ….. 0

plz explain…urgent

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  1. ankit21 saidFri, 24 Jul 2009 07:34:41 -0000 ( Link )

    hey..it’s very simple..first write..2005 raise to power 2005 X 2005 and also..2006 raise to power 2006 X 2006..ans so on.. then..2005 raise to power 2005 will always gve 5 at unit place X 2005 also gve 5 at unit place..then 2006 raise to power 2006 will always gve 6 at unit place X 2006 also gve 6 at unit place..then 5 X 6 =0 then whatever be the digit at unit place of other expression..it always gve 0 at unit place..

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  2. deepa mittal saidFri, 31 Jul 2009 08:28:50 -0000 ( Link )

    The digits at unit place will be 5*6 that will yield 0 at the unit place.

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  3. raj5599 saidSun, 11 Oct 2009 06:45:39 -0000 ( Link )

    answer digit @unit place will alwys b 5*6=30

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