Question 548398
<pre>
(100k)<sup>2</sup>(100k)<sup>2</sup> = n<sup>2</sup>k<sup>4</sup>
                            Remove parentheses on left by distributing exponents
  100<sup>2</sup>k<sup>2</sup>100<sup>2</sup>k<sup>2</sup> = n<sup>2</sup>k<sup>4</sup>
                            Add exponents of 100 and k on the left
        100<sup>4</sup>k<sup>4</sup> = n<sup>2</sup>k<sup>4</sup>
                            Divide both sides by k<sup>4</sup>
          100<sup>4</sup> = n<sup>2</sup>
                            Take positive square roots of both sides
          100<sup>2</sup> = n          
                            Square 100
         10000 = n

Edwin</pre>