(7^lg2)*(2^lg1/7)等于多少,怎么算?

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(7^lg2)*(2^lg1/7)等于多少,怎么算?(7^lg2)*(2^lg1/7)等于多少,怎么算?(7^lg2)*(2^lg1/7)等于多少,怎么算?答案在此(7^lg2)*(2^lg1/7)=

(7^lg2)*(2^lg1/7)等于多少,怎么算?
(7^lg2)*(2^lg1/7)等于多少,怎么算?

(7^lg2)*(2^lg1/7)等于多少,怎么算?
答案在此

(7^lg2)*(2^lg1/7)
=10^(lg[(7^lg2)*(2^lg1/7)])
=10^(lg(7^lg2)+lg(2^lg(1/7)))
=10^(lg2*lg7+lg2*lg(1/7))
=10^(lg2*lg7-lg2*lg7)
=10^0
=1