问题 解答题
计算:
(1)(-
1
3
xm+1-y)-(-
1
3
x2-myn-1
(2)10×102×1 000×10n-3
(3)(-ambnc)2-(am-1bn+1cn2
(4)[(
1
2
2]4-(-233
答案

(1)(-

1
3
xm+1•y)•(-
1
3
x2-myn-1),

=(-

1
3
)×(
1
3
)•xm+1•x2-m•y•yn-1

=

1
9
xm+1+2-m•y1+n-1

=

1
9
x3yn

(2)10×102×1 000×10n-3

=10×102×103×10n-3

=101+2+3+n-3

=103+n

(3)(-ambnc)2•(am-1bn+1cn2

=(-1)2(am2•(bn2•c2•(am-12•(bn+12(cn2

=a2m•b2n•c2•a2m-2b2n+2c2n

=a4m-2b4n+2c2n+2

(4)[(

1
2
2]4•(-233

=(

1
2
2×4•(-1)3•23×3

=-(

1
2
8•28×2,

=-(

1
2
×2)8×2,

=-2;

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