Chapter 1 - Foundations for Algebra - 1-2 Order of Operations and Evaluating Expressions - Practice and Problem-Solving Exercises - Page 13: 33

$3,458$

Substituting $s=4$ and $t=8$, the given expression, $ \dfrac{(3s)^3t+t}{s} ,$ evaluates to \begin{array}{l}\require{cancel} \dfrac{(3\cdot4)^3(8)+8}{4} \\\\= \dfrac{(12)^3(8)+8}{4} \\\\= \dfrac{(1728)(8)+8}{4} \\\\= \dfrac{13824+8}{4} \\\\= \dfrac{13832}{4} \\\\= 3,458 .\end{array}