SOLUTION: 3 to the 3rd root of m^11 over 64 all minus 4m^3 to the 3rd root of m^2 over 27 need to see how its simplified

Algebra ->  Radicals -> SOLUTION: 3 to the 3rd root of m^11 over 64 all minus 4m^3 to the 3rd root of m^2 over 27 need to see how its simplified      Log On


   

Question 405948: 3 to the 3rd root of m^11 over 64 all minus 4m^3 to the 3rd root of m^2 over 27 need to see how its simplified
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Thisis how I read what you posted:


If this is not what you meant then repost your problem with
  • Precise wording. Make you you are using the correct words to describe your expression.
  • Parentheses around
    • Numerators
    • Denominators
    • Exponents
    • Radicands (the expressions inside a radical)

In case the expression above is correct, then the only simplification that can be done is with the 3rd (aka cube) roots. Rewriting the radicands with perfect cube factors we get:


Using the following properties of radicals, root%28a%2C+p%2Aq%29+=+root%28a%2C+p%29%2Aroot%283%2C+q%29 and root%28a%2C+p%2Fq%29+=+root%28a%2C+p%29%2Froot%283%2C+q%29, we can split off the perfect cube factors into their own cube roots:


The cube roots of the perfect cubes simplify:


which simplifies to:


This is far as we can go (as far as I can tell.)