已知2^m=a,化简16×2^2m-1 ×2^3m-1 -4^m ×8^m
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已知2^m=a,化简16×2^2m-1 ×2^3m-1 -4^m ×8^m
![已知2^m=a,化简16×2^2m-1 ×2^3m-1 -4^m ×8^m](/uploads/image/z/8628252-60-2.jpg?t=%E5%B7%B2%E7%9F%A52%5Em%3Da%2C%E5%8C%96%E7%AE%8016%C3%972%5E2m-1+%C3%972%5E3m-1+-4%5Em+%C3%978%5Em)
16×2^2m-1 ×2^3m-1 -4^m ×8^m
=2^4*2^(2m-1)*2(3m-1)-2^(2m)*2^(3m)
=2^(4+2m-1+3m-1)-2^(5m)
=2^(2+5m)-2^(5m)
=4*2^(5m)-2^(5m)
=3*2^(5m)
=3*(2^m)^5
=3a^5
=2^4*2^(2m-1)*2(3m-1)-2^(2m)*2^(3m)
=2^(4+2m-1+3m-1)-2^(5m)
=2^(2+5m)-2^(5m)
=4*2^(5m)-2^(5m)
=3*2^(5m)
=3*(2^m)^5
=3a^5
已知2^m=a,化简16×2^2m-1 ×2^3m-1 -4^m ×8^m
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