SOLUTION: (16n^1/3/n)^-1/4+2n^1/6-n1/3 (Image it is confusing http://i.imgur.com/EOXiNTF.png)

Click here to see ALL problems on Radicals

Question 1024428: (16n^1/3/n)^-1/4+2n^1/6-n1/3 (Image it is confusing http://i.imgur.com/EOXiNTF.png)
Found 2 solutions by Fombitz, Theo:
Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website!
It's very confusing, you didn't use enough parentheses (they're free).

.
.

.
.

.
.

Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
see the following worksheets:

the graph of the original equation is shown below.

the equation is formed by setting the expression equal to y.

the variable of x was used in place of n for graphing purposes.

step 1 is the original equation.

step 2 simplifies it by utilizing the fact that (a*(b^c)/d)^e is equal to a^e * (b^c)^e / d^e.

step 3 simplifies it further by utilizing the fact that a^-b = 1/a^b and (a^b)^-c = 1/(a^b)^c.

step 4 simplifies it further by utilizing the fact that (a^b)^c = a^(b*c).

step 5 simplifies it further by utilizing that fact that (a^b)/a^c) = a^(b-c).

step 6 simplifies it further by performing the operation indicated in step 5.

step 7 turns the expression into an equation by setting it equal to 0.

step 8 multiplies both sides of the equation by 2.

step 9 combines like terms.

step 10 utilizes the fact that n^(1/3) is equivalent to (n^1/6)^2.

step 11 factors out the common term of n^(1/6).

step 12 sets the first factor equal to 0 and solves for n to get n = 0.

step 14 sets the second factor equal to 0 and solves for n to get n = 244.140625.

the graph of the original equation confirms the solution is correct.