Subjects algebra

Simplify Exponent 6B744E

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1. **Simplify the expression** $\frac{3^{-6}}{9^{-3}}$. 2. Express $9^{-3}$ as a power of 3: $9 = 3^2$, so $9^{-3} = (3^2)^{-3} = 3^{-6}$. 3. Substitute back: $\frac{3^{-6}}{3^{-6}} = 3^{-6 - (-6)} = 3^0 = 1$. **Final answer:** $1$.