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

Algebra.Com
Question 548398: For what integer n > 0 does (100k)2(100k)2 = n2k4 for all values of k
Answer by Edwin McCravy(20056)   (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
RELATED QUESTIONS

Find all solutions of the equations. 1. x6 - 64 = 0 2. 9x4 -... (answered by AnlytcPhil)
Find the value of k that will make x-2 a factor of... (answered by Edwin McCravy)
 7x3y2 - 21x2y + 35x3y4... (answered by AnlytcPhil)


 54x6y-4z2
------------... (answered by AnlytcPhil)

factor 15x4-10x2-30x
 (answered by sofiyac,Edwin McCravy)

what is the domain of f(x) =... (answered by )

Factor completely:
1) y³ - 3y² - 4y + 12

2) 2x³ + 6x² - 8x - 24

Factor:... (answered by AnlytcPhil)


Multiply 

         -3a2b      14a3b2
         (answered by AnlytcPhil)

How to simplify: 

(4x3)2
 (answered by Edwin McCravy)