what is the rule with fractions that have exponents? For example, I am trying to evaluate 36 = (1/6)^x

Question

owlfred · Answer

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anonymous · Answer

(1/6)^x=(1^x)/(6^x)=1/(6^x)

anonymous · Answer

6^x=1/36

x=-2

anonymous · Answer

36=(1/6)^(x)=6^(-x)   (because 1/(anything) is the same as (anything) to the power -1   (anything^-1)   )
then 
you should know 36=6^2
so 2 = -x
Leading to x=-2

anonymous · Answer

I understand now - thank you! I forgot that property!