$\sqrt[4]{x^3}$
$\left(2^3\right)^2$
$\left(5^3\right)^4$
$\sqrt[3]{x^3}$
$\left(2^2\right)^4$
$\left(3^2\right)^3$
$\sqrt[5]{x^3}$
Two algebraic expressions are equivalent if they stay equal to each other, for any values their variables can take.
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