1.
(-1/4)^4019*16^2010
=-(1/4)^4019*(4^2)^2010
=-(1/4)^4019*4^4020
=-(1/4*4)^4019*4
=-1^4019*4
=-4
2.
3^18*(-1/9)^8
=3^18*(1/3)^16
=(3*1/3)^16*3^2
=1^16*9
=9
3.
(0.5×3又2/3)^199×(-2×3/11)^200
=(0.5×2)×(11/3)^199×(3/11)^200
=(11/3×3/11)^199×3/11
=1^199×3/11
=3/11
4.
0.25^9×2^20×25^9×64^3
=0.25^9×2^20×(5^2)^9×（4^3)^3
=0.25^9×2^20×5^18×4^9
=(0.25×4)^9×(2×5)^18×2^2
=1^9×10^18×4
=4×10^18
5.
x^3n=2
(3x^3n)^2+(-2x^2n)^3
=3^2(x^3n)^2-2^3(x^2n)^3
=9*2^2-8(x^3n)^2
=9*4-8*2^2
=36-32
=4