Answer
14
Work Step by Step
Using $x=3, y=4, z=-1$ and plugging into the equation, we get:
$(9x)^{2/3}+(2y)^{2/3}+z^{2/3}=(9*3)^{2/3}+(2*4)^{2/3}+(-1)^{2/3}=(3^{3})^{2/3}+(2^{3})^{2/3}+(1)^{1/3}=3^{2}+2^{2}+1=9+4+1=14$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.