Answer :
When multiplicating both terms with the same base, you can sum the exponents.
[tex]\begin{gathered} 10^5\cdot10^{-10} \\ =10^{5-10} \\ =10^{-5} \end{gathered}[/tex]Also, according to the negative exponent rule:
[tex]a^{-b}=\frac{1}{a^b}[/tex]So,
[tex]10^{-5}=\frac{1}{10^5}[/tex]Answer:
[tex]\frac{1}{10^5}[/tex]