Answer:
the simplified expression is 1/9
Step-by-step explanation:
The given expression is \(\frac{3^{-6}}{3^{-4}}\)
We can apply the exponent law: \(\frac{x^a}{x^b}=a^{a-b}\)
Applying this law, we get
\(\frac{3^{-6}}{3^{-4}}\\\\=3^{-6+4}\\\\=3^{-2}\)
Now, apply the exponent rule:\(x^{-a}=\frac{1}{x^a}\)
\(3^{-2}=\frac{1}{3^2}\\\\=\frac{1}{9}\)
Hence, the simplified expression is 1/9
