If 4( -x) = 1/6 , what does 16(x) equal?

Question

If 4^-x =1/6
, what does 16^x equal?

Answer 1

taking reciprocal of the original given equation, 4^x = 6.  

squaring both sides we have 4^2x = 36 and the left side can be rewritten 16^x so the answer is 36.

 

I think your question is (intended to be) what is 16^x