Question

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

Answer 1

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Answer 2

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

Answer 3

6^x=1/36

x=-2

Answer 4

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

Answer 5

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