0.25^2006×4^2005 —8^100×0.5^300
0.25^2006×4^2005 —8^100×0.5^300
例如:2^4=2^(3+1)=(2^3)X(2^1)=16
本题:0.25^2006×4^2005 —8^100×0.5^300
=[(0.25^2005)x0.25]×4^2005 —8^100×[(0.5^100)x(0.5^200)]
=[(0.25x4)^2005]x0.25 — [(8x0.5)^100]x(0.5^200)
=0.25 — ( 4^100)x(0.5^100) X(0.5^100)
=0.25 — ( 2^100)x(0.5^100)
=0.25 — 1
=-0.75
好好学习吧孩子,-0.75
原式=(1/4)^2006x2^4010-2^300x(1/2)^300
=4^-2006x2^4010-2^300x2^-300
=2^-4012x2^4010-2^300x2^-300
=1/4-1
=3/4
(0.25*4)^2005*0.25-(8*0.125)^100=0.25-1=-0.75
0.25^2006×4^2005 —8^100×0.5^300=0.25*0.25^2005×4^2005 —8^100×0.5^100*0.5^100*0.5^100=0.25*(0.25*4)^2005-(8*0.5*0.5*0.5)^100=0.25*1^2005-1^100=0.25*1-1=-0.75
-0.75
0.25^2006×4^2005 —8^100×0.5^300=[1/(4^2006)*4^2005]-8^100*[1/2^300]=(1/4)-8^100*[1/8^100]=1/4-1=-3/4=-0.75