计算:(1)(-13xm+1-y)-(-13x2-myn-1)(2)10×102×1000×10n-3(3)(-ambnc)2-(am-1bn+1cn)2(4)[(12)2]4-(-23)3-数学

题目简介

计算:(1)(-13xm+1-y)-(-13x2-myn-1)(2)10×102×1000×10n-3(3)(-ambnc)2-(am-1bn+1cn)2(4)[(12)2]4-(-23)3-数学

题目详情

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
题型:解答题难度:中档来源:不详

答案

(1)(-class="stub"1
3
xm+1•y)•(-class="stub"1
3
x2-myn-1),
=(-class="stub"1
3
)×(class="stub"1
3
)•xm+1•x2-m•y•yn-1,
=class="stub"1
9
xm+1+2-m•y1+n-1,
=class="stub"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+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)[(class="stub"1
2
)2]4•(-23)3,
=(class="stub"1
2
)2×4•(-1)3•23×3,
=-(class="stub"1
2
)8•28×2,
=-(class="stub"1
2
×2)8×2,
=-2;

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