Answer
$\dfrac{1}{t^{9}}$
Work Step by Step
Using the laws of exponents, the given expression, $
t^{-4}\cdot t^{-5}
,$ is equivalent to
\begin{array}{l}\require{cancel}
t^{-4+(-5)}
\\\\=
t^{-9}
\\\\=
\dfrac{1}{t^{9}}
.\end{array}
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