SOLUTION: I had this problem on a test today and could not figure it out can you please help. It said solve: 9m^3=64n^2 Thank You

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I had this problem on a test today and could not figure it out can you please help. It said solve: 9m^3=64n^2 Thank You      Log On


   

Question 318859: I had this problem on a test today and could not figure it out can you please help. It said solve: 9m^3=64n^2
Thank You
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
9m^3=64n^2
since i dont know what your trying to solve as in solve for n or solve for m or just simplify or factor. i will go through some different possibilities
1) %283m%29%5E3=%288n%29%5E2
2) sqrt%28%283m%29%5E3%29=sqrt%288n%29%5E2
___%283m%29sqrt%283m%29=8n
___%28%283m%29sqrt%283m%29%29%2F8=n
3) 3sqrt%28%283m%29%5E3%29=3sqrt%28%288n%29%5E2%29___3sqrt%288n%29means 3rd root of 16n
___%283m%29=3sqrt%28%288n%29%5E2%29
___m=%283sqrt%28%288n%29%5E2%29%29%2F3