Matrix equation with powers $A\cdot X^T=B$

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Given the matrix equation $A\cdot X^T=B$, isolate the matrix $X$ and identify the order of the matrices $A$ and $B$ such that $X$ has order $3\times5$


I came across these matrix equations, and I cannot comprehend what is the power of $T$ doing there, and how to isolate it. The problem doesn´t even say what is the nature of $T$.

The first obvious step is:

$$X^T=A^{-1}B$$

But how can I deal whit the other power?