Answer:
n=13
Step-by-step explanation:
When multiplying two numbers with the same base, add the exponents
[tex]8^{9} *8^{4} =8^{13}[/tex]
When dividing two numbers with the same base, subtract the exponents[tex]\frac{(8^{n})^{3}}{8^{2} } =(8^{n})^{3-2}=(8^{n})^{1}=8^{n}[/tex]
So
[tex]8^{13} =8^{n}[/tex]
The bases are the same, so you can cancel them
13=n
n=13
