
Polynomials
Hello all,
What would be the easiest way to simplify a polynomial raised to a fractional power. Such as this:
(40 + 2x)^(2/3)
And here is the main problem:
I'm trying to solve for x in this equation:
821.6 = (40x)^(5/3) * (40 + 2x)^(2/3)
All help is appreciated. Thank you.

Re: Polynomials
cubing both sides gives $\displaystyle \displaystyle 821.6^3 = (40x)^5\times (40+2x)^{2}$
then getting rid of the negative exponent $\displaystyle \displaystyle 821.6^3\times (40+2x)^{2} = (40x)^5$
You should be good from there.

Re: Polynomials
821.6 = { (40x)^5/(40+2x)^2}^(1/3)
raise both sides to the power of 3
821.6^3 = { (40x)^5/(40+2x)^2}
Now you can solve for x