Simplify the following:
1. \((-3xy^2)^3\)
2. \(\Bigg(\dfrac{3x^2y^5}{x^3y}\Bigg)^2\)
3. \(\Bigg(\dfrac{3^2}{5}\Bigg)^{-1}\)
4. \(\dfrac{3x^3}{6x^{-2}}\)
5. \(\Bigg(\dfrac{x^{-2}}{x^3}\Bigg)^{-1}\)
6. \(\Bigg(\dfrac{2xy}{3z}\Bigg)^2\Bigg(\dfrac{4x}{z}\Bigg)^{-2}\)
7. Simplify each expression and order from smallest to largest: \(\Bigg(\dfrac{5}{3^2}\Bigg)^{-1}~,(-3)^{-2}~,350^0~,(2^{-3}\cdot2)\)
Check your solutions here.
