问题
解答题
计算: (1)(-
(2)10×102×1 000×10n-3 (3)(-ambnc)2-(am-1bn+1cn)2 (4)[(
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答案
(1)(-
xm+1•y)•(-1 3
x2-myn-1),1 3
=(-
)×(1 3
)•xm+1•x2-m•y•yn-1,1 3
=
xm+1+2-m•y1+n-1,1 9
=
x3yn;1 9
(2)10×102×1 000×10n-3,
=10×102×103×10n-3,
=101+2+3+n-3,
=103+n;
(3)(-ambnc)2•(am-1bn+1cn)2,
=(-1)2(am)2•(bn)2•c2•(am-1)2•(bn+1)2(cn)2,
=a2m•b2n•c2•a2m-2b2n+2c2n,
=a4m-2b4n+2c2n+2;
(4)[(
)2]4•(-23)3,1 2
=(
)2×4•(-1)3•23×3,1 2
=-(
)8•28×2,1 2
=-(
×2)8×2,1 2
=-2;