let-x-y-z-be-positive-real-number-such-that-x-4-y-4-z-4-1-find-the-minimum-value-of-x-3-1-x-8-y-3-1-y-8-z-3-1-z-8-

Question Number 192039 by universe last updated on 06/May/23

let x, y, z be positive real number such that

x^{4} + y^{4} + z^{4} = 1 find the minimum value

of

\frac{x^{3}}{1 - x^{8}} + \frac{y^{3}}{1 - y^{8}} + \frac{z^{3}}{1 - z^{8}}