(1)(2)2×42
(2)[()2]3×(23)3
(3)(-0.125)12×(-1)7×(-8)13×(-)9
(4)-82003×(0.125)2002+(0.25)17×417
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(1)(2)2×42,
=()2×42,
=81;
(2)[()2]3×(23)3,
=()6×29,
=(×2)6×23,
=23,
=8;
(3)(-0.125)12×(-1)7×(-8)13×(-)9,
=(-)12×(-)7×(-8)13×(-)9,
=-()12×813×()7×()9,
=-(×8)12×8×(×)7×()2,
=-8×,
=;
(4)-82003×(0.125)2002+(0.25)17×417,
=-8×82002×()2002+()17×417,
=-(8×)2002×8+(×4)17,
=-8+1,
=-7;
解析分析:(1)根据积的乘方的性质的逆运用求解;
(2)先整理出同指数幂的乘法,再利用积的乘方的性质的逆运用求解;
(3)根据乘法交换律和结合律,把第一三项,二四项先整理成同指数幂的运算,然后根据积的乘方性质的逆运用求解;
(4)分别利用积的乘方的性质的逆运用进行计算即可.
点评:本题主要考查积的乘方的性质的逆运用,熟练掌握运算性质,整理成同底数幂的乘法是解题的关键.