Question 755750
<pre>

{{{(1/36)}}}<sup>x-2</sup> = 1296<sup>2x</sup>

Write 1296 as 36<sup>2</sup>
Write {{{1/36}}} as 36<sup>-1</sup>

(36<sup>-1</sup>)<sup>x-2</sup> = (36<sup>2</sup>)<sup>2x</sup>

Remove the parentheses by multiplying the exponents:

36<sup>-x+2</sup> = 36<sup>4x</sup>

Since the base 36 is positive and not 1, we may drop the
36's and set their exponents equal to each other:

-x+2 = 4x
 -5x = -2
   x = {{{(-2)/(-5)}}}
   x = {{{2/5}}}

Edwin</pre>