Answer:
C
Step-by-step explanation:
using the rules of exponents
• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
given [tex]\frac{a^{n} }{a^{3} }[/tex] = [tex]a^{9}[/tex]
multiply both sides by [tex]a^{3}[/tex]
[tex]a^{n}[/tex] = [tex]a^{9}[/tex] × [tex]a^{3}[/tex] = [tex]a^{12}[/tex]
since bases on both sides are a, equate the exponents, hence
n = 12 → C
