i’m guessing the question is written as (-6)^-1x=27^-1
to get rid of a negative exponent, you use the reciprocal of the number.
so (-6)^-1 would be 1/-6
27^-1 would be 1/27
rewrite is as
(1/-6)x = 1/27
multiply both sides by reciprocal or 1/-6 to cancel it and make x by itself
it’s would be x = 1/27(-6)
multiply
x = -6/27
simplify
the final answer is x=-2/9