Answer:
[tex]=\frac{3}{ac^3}[/tex]Step-by-step explanation:
We have the expression:
[tex]3a^{-1}c^{-3}[/tex]We know that
[tex]x^{-1}=\frac{1}{x}[/tex]Then, we can write the expression using the positive expoents:
[tex]\begin{gathered} 3a^{-1}c^{-3} \\ =3\cdot\frac{1}{a^1}\cdot\frac{1}{c^3} \end{gathered}[/tex]Now, we can multiply the factors:
[tex]\begin{gathered} =\frac{3\cdot1\cdot1}{1\cdot a\cdot c^3} \\ =\frac{3}{ac^3} \end{gathered}[/tex]