Answer
$x^{t}$
Work Step by Step
Using the laws of exponents, the given expression $
\dfrac{x^{5t}(x^t)^2}{(x^{3t})^2}
$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{x^{5t}(x^{t(2)})}{x^{3t(2)}}
\\\\=
\dfrac{x^{5t}(x^{2t})}{x^{6t}}
\\\\=
x^{5t+2t-6t}
\\\\=
x^{t}
.\end{array}