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(-8) What is 2011 power x (-0.125)2010 power x (-1)2009 power?
(-8)2011 Power x (-0.125)2010 power x (-1)2009 power =(-8)^2009x (-8)^2x (-0.125)^2009x (-0.125) x (-1)^2009=[(-8)×(-0.125)×(-1)]^2009×(-8)^2×(-0.125)=(-1)^2009x64x (-0.125)=1x64x1/8=8
(1995 Power of 1995+1996 power of 1996+1997 power of 1997+1998 power of 1998) What is the single digit of the value of the 2008 power,
The power of 1995 is 5, the power of 1996 is 6, and the X power of 1997 is 7,9,3,1... cycle, when X =1997,1997÷4=499+1, that is, the power of 1997 is 7,1998, Y power is 8,4,2,6... cycle, when Y =1998,1998÷4=499+2, that is, the power of 1998 is 4
5+6+7+4=22, So the last digit in parentheses is 2
The mantissa law of the power of 2 is:2^1=2,2^2=4,2^3=8,2^4=16,2^5=32,2008=4*505 is a multiple of 4, so (1995 power of 1995+1996 power of 1996+1997 power of 1997+1998 power of 1998) the single digit of 2008 power should be 6
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