The value for N would be 3 because you would need to add the exponents.
Answer:
n = 3
Step-by-step explanation:
[tex] 3^5 \cdot 3^n = 3^8 [/tex]
[tex] 3^{5 + n} = 3^8 [/tex]
[tex] 5 + n = 8 [/tex]
[tex] n = 3 [/tex]