SOLUTION: For what integer n > 0 does (100k)<sup>2</sup>(100k)<sup>2</sup> = n<sup>2</sup>k<sup>4</sup> for all values of k

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Question 548398: For what integer n > 0 does (100k)2(100k)2 = n2k4 for all values of k
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
(100k)2(100k)2 = n2k4
                            Remove parentheses on left by distributing exponents
  1002k21002k2 = n2k4
                            Add exponents of 100 and k on the left
        1004k4 = n2k4
                            Divide both sides by k4
          1004 = n2
                            Take positive square roots of both sides
          1002 = n          
                            Square 100
         10000 = n

Edwin