It is suggested that the power of 3 in 2011 minus the power of 2×3 in 2010 plus the power of 10×3 in 2009 can be divided by 13

It is suggested that the power of 3 in 2011 minus the power of 2×3 in 2010 plus the power of 10×3 in 2009 can be divided by 13

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Try to show that the 2011 power of 3 minus 4 times the 2010 power of 3 plus 10 times the 2009 power of 3 is a multiple of 7. Try to show that 3's 2011 power minus 4 times 3's 2010 power plus 10 times 3's 2009 power is a multiple of 7.

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