## Introductory Algebra for College Students (7th Edition)

$8^{17}$
Using $x^a \cdot x^b=x^{a+b}$ or the product rule, the given expression, $8^7\cdot 8^{10} ,$ simplifies to \begin{array}{l}\require{cancel} 8^{7+10} \\\\= 8^{17} .\end{array}