If

$(\frac53)^{-5} × (\frac53)^{11} = (\frac53)^{8x}$, find the value of $x$

$(\frac53)^{-5} × (\frac53)^{11} = (\frac53)^{8x}$

⇒ $(\frac53)^{-5 + 11} = (\frac53)^{8x}$

⇒ $(-5 + 11) = 8x$

∴ $8x = 6$

∴ $x = \frac68$