Evaluating Powers and Expressions

Express each of the following with a positive power and then evaluate: $5^{-3}$

Express each of the following with a positive power and then evaluate: $\left(\frac{2}{3}\right)^{-2}$

Express each of the following with a positive power and then evaluate: $\left(\frac{1}{3}\right)^{-4}$

Express each of the following as a single positive power: $(-3)^{3}(-3)^{4}(-3)^{6}$

Express the following as a single positive power: \( \frac{3^{-5}}{3^{-8}} \)

Express the following as a single power: \( [(-4)^2]^6 \)

Express the following as a single power: \( \left[\left(\frac{1}{4}\right)^{-3}\right]^{-2} \)

Simplify, ensuring all final answers have positive exponents, then evaluate: \(\frac{((-5)^2)(-5)^{-5}}{(-5)^{-3}\).

Simplify, ensuring all final answers have positive exponents, then evaluate: \(\frac{(9^3)(3^3)}{81^2}\).

Express $36^{\frac{3}{2}}$ as a radical and then evaluate.