(1)0.25^2004*4^2005-8^1000*0.5^3000
=(0.25*4)^2004*4 - (8*0.5^3)^1000
=1*4 - 1^1000=4-3=1
(2)(3xy)^11*(xy/81)^3=3^11*(xy)^11*(xy)^3*(3^4)^(-3)=(xy)^14/3
(3) 原式=8^(-12)*(5/3)^7*8 = 8^(-11)*5^7*3^(-7)
(1)0.25^2004*4^2005-8^1000*0.5^3000
=(0.25*4)^2004*4 - (8*0.5^3)^1000
=1*4 - 1^1000=4-3=1
(2)(3xy)^11*(xy/81)^3=3^11*(xy)^11*(xy)^3*(3^4)^(-3)=(xy)^14/3
(3) 原式=8^(-12)*(5/3)^7*8 = 8^(-11)*5^7*3^(-7)