Question

Write the expression in simplest form. Assume that all variables are positive.(- 125x^-6) ^1/3show all work

Answer 1

Okay, here we have this:

Considering the provided expression, we are going to rewrite it in simplest form, so we obtain the following:

`\begin{gathered} (-125x^(-6))^{(1)/(3)} \\ =-\mleft(125x^(-6)\mright)^{(1)/(3)} \\ =-125^{(1)/(3)}\mleft(x^(-6)\mright)^{(1)/(3)} \\ =-5\mleft(x^(-6)\mright)^{(1)/(3)} \\ =-5x^{-6\cdot(1)/(3)} \\ =-5x^{\mleft\{-2\mright\}} \\ =-5\cdot(1)/(x^2) \\ =-(5)/(x^2) \end{gathered}`