Answer:
The answer is [tex]\frac{1}{a^3}[/tex]
Step-by-step explanation:
Apply the exponent rule: [tex]a^b\cdot \:a^c=a^{b+c}[/tex]
[tex]a^{-4}a^9a^{-8}=a^{-4+9-8}[/tex]
[tex]=a^{-4+9-8}[/tex]
Add/Subtract the numbers: [tex]-4+9-8=-3[/tex]
[tex]=a^{-3}[/tex]
Apply the exponent rule: [tex]\:a^{-b}=\frac{1}{a^b}[/tex]
[tex]a^{-3}=\frac{1}{a^3}[/tex]
[tex]=\frac{1}{a^3}[/tex]
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (this isn't a sponsor I've just been using it since the 6th grade lol).
