Answer
$4n^{3}$
Work Step by Step
Using the laws of exponents, the given expression, $
\dfrac{12n^{-2}}{3n^{-5}}
,$ is equivalent to
\begin{array}{l}\require{cancel}
(12\div3)n^{-2-(-5)}
\\\\=
4n^{-2+5}
\\\\=
4n^{3}
.\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.
