# Indices

$\Large \big({\sqrt[3]{x}}\big)^{x^3} = {x^{3\sqrt[3]{x}}}$

Find the real value of $x$ which satisfies the equation above.

If the answer is of the form $\sqrt[8]{a}$, submit the value of $a$.

Note: Here $x \neq 1,0,-1$.

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