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计算:(1)(a8)2÷a8;(2)(a-b)2(b-a)2n÷(a-b)2n-1.
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计算:(1)(a8)2÷a8;(2)(a-b)2(b-a)2n÷(a-b)2n-1.
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答案和解析
(1)(a8)2÷a8,
=a16÷a8,
=a16-8,
=a8;
(2)(a-b)2(b-a)2n÷(a-b)2n-1,
=(a-b)2(a-b)2n÷(a-b)2n-1,
=(a-b)2+2n-(2n-1),
=(a-b)3.
=a16÷a8,
=a16-8,
=a8;
(2)(a-b)2(b-a)2n÷(a-b)2n-1,
=(a-b)2(a-b)2n÷(a-b)2n-1,
=(a-b)2+2n-(2n-1),
=(a-b)3.
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