用简便方法计算：(1)(-1/4)^2014×16^1008;(2)3^18×(-1/9)^8;(3(3)(0.5×32/3)^199×(-2×3/11)^200
用简便方法计算：(1)(-1/4)^2014×16^1008;(2)3^18×(-1/9)^8;(3
(3)(0.5×32/3)^199×(-2×3/11)^200
(1)(-1/4)^2014×16^1008
=[(-1/4)^2]^1007×16^1007X16
=(1/16)^1007×16^1007x16
=(1/16x16)^1007x16
=1x16
=16
(2)3^18×(-1/9)^8
=3^18x(1/9)^8
=3^2x3^16x[(1/3)^2]^8
=3^2x3^16x(1/3)^(2x8)
=9x(3x1/3)^16
=9x1
=9
(3)(0.5×32/3)^199×(-2×3/11)^200
=(0.5×11/3)^199×(2×3/11)^200
=(0.5×11/3)^199×(2×3/11)^199x(2x3/11)
=(0.5×11/3×2×3/11)^199x(6/11)
=1x(6/11)
=6/11