If 5400 mn = k^4, where m, n, and k are positive integers, what is the least possible value of 2m + n?
Select the correct option
A) 11
B) 18
C) 20
D) 25
E) 35
k^4=5400∗mn   k^4=3^3.2^3.5^2.mn   In order to make RHS a perfect power of 4, we require it to be multiplied by 3, 2 &amp; 5^2   mn=3.2.5^2   mn = 150 = 10 * 15 (Least possible)   Answer = 2*10 + 15= 
<gadget id="calculator">2*10 + 15</gadget>
<output>35</output>
35   ANSW35R:35
<result>E</result>
If 5400 mn = k^4, where m, n, and k are positive integers, what is the least possible value of 2m + n?