Write each expression in expanded form and simplify.
- \((-2)^3(5^2)\)
- \(\bigg(\dfrac34\bigg)^4(-2)^3\)
- \(x^3y\cdot x^2y^2\)
- Simplify the expressions \((3x)^3\) and \(3x^3\) and show mathematically how they are different.
- Explain why \((2x)^3\neq3\cdot(2x)\)
