运用乘方的意义化简(-5)^(2n+1)+5×(-5)^2n+2000^(2n+1)×(1/2000)^2n

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运用乘方的意义化简
(-5)^(2n+1)+5×(-5)^2n+2000^(2n+1)×(1/2000)^2n

(-5)^(2n+1)+5×(-5)^2n+2000^(2n+1)×(1/2000)^2n
=(-5)×(-5)^2n+5×5^2n+2000×2000^2n×(1/2000)^2n
=-5×5^2n+5×5^2n+2000×2000^(2n)×(1/2000)^2n
=0+2000×(2000×1/2000)^2n
=2000×1
=2000