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【(1)(0.04)^2009乘[(-5)^2009]^2(2)(1-1/2)^2(1-1/3)^2(1-1/4)^2·……·(1-1/10)^2】
题目内容:
(1) (0.04)^2009乘[(-5)^2009]^2
(2) (1-1/2)^2(1-1/3)^2(1-1/4)^2·……·(1-1/10)^2优质解答
(0.04)^2009*[(-5)^2009]^2
=(0.04)^2009*(-5)^2009*(-5)^2009
=(0.04*(-5))^2009*(-5)^2009
=(-0.2)^2009*(-5)^2009
=(-0.2*(-5))^2009
=1^2009
=1
(1-1/2)^2(1-1/3)^2(1-1/4)^2·……·(1-1/10)^2
=((1-1/2)(1-1/3)(1-1/4)……(1-1/10))^2
=(1/2*2/3*3/4*……9/10)
=(1/10)^2
=1/100
(2) (1-1/2)^2(1-1/3)^2(1-1/4)^2·……·(1-1/10)^2
优质解答
=(0.04)^2009*(-5)^2009*(-5)^2009
=(0.04*(-5))^2009*(-5)^2009
=(-0.2)^2009*(-5)^2009
=(-0.2*(-5))^2009
=1^2009
=1
(1-1/2)^2(1-1/3)^2(1-1/4)^2·……·(1-1/10)^2
=((1-1/2)(1-1/3)(1-1/4)……(1-1/10))^2
=(1/2*2/3*3/4*……9/10)
=(1/10)^2
=1/100
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