Solution:
The expression is given below as
[tex]6^{-4}\times6^{-9}[/tex]Concept:
We will apply the indices law of multiplication below
[tex]a^m\times a^n=a^{m+n}[/tex]By applying the concept, we will have
[tex]\begin{gathered} 6^{-4}\times6^{-9}=6^{-4+(-9)} \\ =6^{-4-9} \\ =6^{-13} \\ =\frac{1}{6^{13}} \end{gathered}[/tex]Hence,
The final answer is
[tex]\Rightarrow\frac{1}{6^{13}}[/tex]