SOLUTION: {{{((4)(root(3,9x+10)))^3}}}

Algebra ->  Radicals -> SOLUTION: {{{((4)(root(3,9x+10)))^3}}}      Log On


   

Question 109236: %28%284%29%28root%283%2C9x%2B10%29%29%29%5E3
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!

%28%284%29%28root%283%2C9x%2B10%29%29%29%5E3

We cube the 4 and we cube the cube root:

%284%29%5E3%28root%283%2C9x%2B10%29%29%5E3

When we cube 4 we get 4𠪔 = 64

When we cube a cube root we take away the radical
and the exponent and leave only what's under the
radical.  So we get:

64(9x + 10)

or

576x + 640 

Edwin