Answer
$-8y^{11}p^{}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the laws of exponents to simplify the given expression, $
\dfrac{-8y^7p^{-2}}{y^{-4}p^{-3}}
.$
$\bf{\text{Solution Details:}}$
Using the Quotient Rule of the laws of exponents which states that $\dfrac{x^m}{x^n}=x^{m-n},$ the expression above simplifies to
\begin{array}{l}\require{cancel}
-8y^{7-(-4)}p^{-2-(-3)}
\\\\=
-8y^{7+4}p^{-2+3}
\\\\=
-8y^{11}p^{1}
\\\\=
-8y^{11}p^{}
.\end{array}
