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The factorization method is used to show that the 7th power of 36 minus the 12th power of 6 can be divided by 140.
36^7-6^12
=(6²)^7-6^12
=6^14-6^12
=6^12×(6²-1)
=6^12×35
=6^10×36×35
=6^10×35×4×9
=6^10×140×9
Include factor 140, so 36^7-6^12 can be divided by 140.
Calculation:(2008 power of 7*1/2009)0 power/2 2010 power Calculation:(2008 power of 7*1/2009)0 power/1/2 2010 power
Original=1/(1/2^2010)
=2^2010
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