Answer :

Given the expression:

[tex]-10^{-4}[/tex]

We will use the following rule to simplify the expression:

[tex]a^{-m}=\frac{1}{a^m}[/tex]

so, the given expression will be:

[tex]-10^{-4}=-\frac{1}{10^4}=-\frac{1}{10000}=-0.0001[/tex]