Chapter 4 - Polynomials - 4.1 Exponents and Their Properties - 4.1 Exercise Set - Page 237: 107

$x^{t}$

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}