Question 1132096
<pre>
4<sup>-n</sup> = 32

Write 4 as 2<sup>2</sup> and 32 as 2<sup>5</sup>

(2<sup>2</sup>)<sup>-n</sup> = 2<sup>5</sup>

Multiply the exponents on the left to remove the
parentheses:

2<sup>-2n</sup> = 2<sup>5</sup>

Since the bases on both sides are the same, and 
are different from 1, the exponents must be
equal also, so we set them equal:

-2n = 5

  n = -5/2

Edwin</pre>