SOLUTION: what is the simplified form of the following expression? assume a and c are both greater than or equal to 0 {{{14(4th root(a^5b^2c^4))-7ac(4th root(ab^2))}}} options are: a) 7ac

Algebra ->  Radicals -> SOLUTION: what is the simplified form of the following expression? assume a and c are both greater than or equal to 0 {{{14(4th root(a^5b^2c^4))-7ac(4th root(ab^2))}}} options are: a) 7ac      Log On


   



Question 1115553: what is the simplified form of the following expression? assume a and c are both greater than or equal to 0
14%284th+root%28a%5E5b%5E2c%5E4%29%29-7ac%284th+root%28ab%5E2%29%29
options are:
a) 7ac(4th root (ab^2))
b) 7(4th root(ab^2))
c) -7(4th root(ab^2))
d) -7ac(4th root(ab^2))
I tried to simplify it but got 14c\sqrt[4]{a^5b^2}-7ac\sqrt[4]{ab^2} which is not an option, what am I doing wrong and what is the real answer?

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


In the first term, you simplified 4throot%28c%5E4%29 to just c.

In that term you can also simplify 4throot%28a%5E5%29 to a%2A4throot%28a%29

Then both terms will have the 4th root of the same expression, so they can be combined to give you one of the given answer choices.