Simplification and Factoring Quiz

Simplify the expression: \((-5x^{-2}y) \cdot (6x^3y^{-1}) + 7x^5\)

Simplify the expression: \((7m^4n^3)^{-2}\)

Simplify the expression: \(\left(\frac{p^4q^3}{3p^2q^7}\right)^3\)

Simplify the expression: \(\left(-\frac{1}{2}c^3d^2\right)^2 \cdot (-6c^2d)^3\)

Simplify the expression: \((3k^2 - 7k) - (5k^2 + 2k - 8)\)

Simplify the expression: \((3a + 7)^2 - 5a(a - 4)\)

Simplify the expression: \((7m - 4)(2m - 3) + (2 - 9m)\)

Simplify the expression: \((x - 2y)^3\)

Factor the expression: \(20c^3d^3 - 16c^2d\)

Factor the expression: \(p^5 - 81p\)