Indices

Algebra Level 3

(x3)x3=x3x3\Large \big({\sqrt[3]{x}}\big)^{x^3} = {x^{3\sqrt[3]{x}}}

Find the real value of xx which satisfies the equation above.

If the answer is of the form a8\sqrt[8]{a}, submit the value of aa.

Note: Here x1,0,1x \neq 1,0,-1.

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