(2^m)·(8^2m)÷(4^2n-1)

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(2^m)·(8^2m)÷(4^2n-1)(2^m)·(8^2m)÷(4^2n-1)(2^m)·(8^2m)÷(4^2n-1)解(2^m)·(8^2m)÷(4^2n-1)=(2^m)·[(2^3)^2

(2^m)·(8^2m)÷(4^2n-1)
(2^m)·(8^2m)÷(4^2n-1)

(2^m)·(8^2m)÷(4^2n-1)
解(2^m)·(8^2m)÷(4^2n-1)
=(2^m)·[(2^3)^2m]÷[(2^2)^2n-1]
=(2^m)·[(2)^6m]÷[(2)^(4n-2)]
=(2^7m)÷[(2)^(4n-2)]
=2^(7m-4n+2)

(2^m)·(8^2m)÷(4^2n-1)
=2^m·2^(6m) ÷ 2^(4n-2)
=2^(m+6m-4n+2)
=2^(7m-4n+2)