Answer
$2n^{2}$
Work Step by Step
Using the laws of exponents, the given expression, $
\dfrac{4n^{-1}}{2n^{-3}}
,$ is equivalent to
\begin{array}{l}\require{cancel}
(4\div2)n^{-1-(-3)}
\\\\=
2n^{-1+3}
\\\\=
2n^{2}
.\end{array}
For more complicated problems, it is helpful to remember that you can flip the location of numbers with negative exponents. In other words, you can move numbers with a negative exponent that are in the numerator to the denominator, and you can move numbers with a negative exponent in the denominator to the numerator.
