Answer
$x^{8}$
Work Step by Step
Using the laws of exponents, the given expression, $
(x^3)^5\cdot x^{-7}
,$ simplifies to
\begin{array}{l}\require{cancel}
x^{3(5)}\cdot x^{-7}
\\\\=
x^{15}\cdot x^{-7}
\\\\=
x^{15+(-7)}
\\\\=
x^{15-7}
\\\\=
x^{8}
.\end{array}