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

Question 1115553: what is the simplified form of the following expression? assume a and c are both greater than or equal to 0

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) (Show Source): You can put this solution on YOUR website!

In the first term, you simplified to just .

In that term you can also simplify to

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.
RELATED QUESTIONS
Show that the real solutions of the equation ax^2 + bx + c = 0 are the reciprocals of the (answered by math_tutor2020)

1. Find all roots of x3 + 2x2 + 2x + 1. Hint: Find the rational one(s) first. A.... (answered by Alan3354)

Find an equation of the vertical line through(-8,6) in the form ax+by=c! where a, and c... (answered by josgarithmetic)

Can somebody PLEASE check my work, It would be GREATLY appreciated (:! 1. Is the... (answered by Boreal,jim_thompson5910)

Show that the real solutions of the equation ax^2 + bx + c = 0 are the reciprocals of the (answered by math_tutor2020)

What is the domain of f(x)= (square root) x-6 ? A) {X|x (less than or equal to)6}... (answered by stanbon)

Roots A.)Find each root - sq root 25 B) Quotient Rule for Radicals Simplify... (answered by solver91311)

Hi, If you have |x-b| = c where b = a number and c = a number or expression and x is... (answered by ikleyn)

Graph the square root function and its inverse. Determine the domain and range of both... (answered by jim_thompson5910)