Question 83735
<pre><font face = "comic sans MS" size = 3><b>

{{{(1/6)^x}}}  =  {{{1/216}}}

Since {{{216 = 6*6*6 = 6^3}}}
Let's replace the right side {{{1/216}}} by {{{(1/6)^3}}}

{{{(1/6)^x}}}  =  {{{(1/6)^3}}}

The power of {{{1/6}}} on the left must equal
the power of {{{1/6}}} on the right, so

      x = 3

That's the solution.

Edwin</pre>