10^a=√6, 10^b=√8 求100^2a-2/3b的值
问题描述：
10^a=√6, 10^b=√8 求100^2a-2/3b的值
答
10^a=√6, 10^b=√8
10^a=√6100^b=8
100^a=6
100^(2a-2b/3)
=100^(2a)/[100^(2a/3)]
=36/[³√64]
=36/4
=9