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Answer:
n = 2
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)^c = a^(bc)
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[tex](8^n)^3 = 8^6\\\\8^{3n}=8^6\\\\3n=6\\\\n=\dfrac{6}{3}\\\\ \boxed{n=2}[/tex]
2 * 3 = 6
8^6 = 8^6
Done!