Answer:
[tex]\frac{1}{3^{2}}[/tex].
Step-by-step explanation:
Given [tex]\frac{3^{4}}{3^{6}}[/tex]:
Use the Quotient Rule for Exponents:
[tex]\frac{a^{m} }{a^{n}} = a^{m-n}[/tex]
[tex]\frac{3^{4}}{3^{6}} = 3^{4 - 6} = 3^{-2}[/tex]
Since it is a negative exponent, then you can use the Negative Exponent rule:
[tex]a^{-n} = \frac{1}{a^{n}}[/tex]
[tex]3^{-2} = \frac{1}{3^{2}}[/tex]
Therefore, the correct answer is [tex]\frac{1}{3^{2}}[/tex].
