Calculate the result of the following operations with monomials:

- $$3xy\cdot5xyz$$
- $$\dfrac{5z^5x}{3z^3x^2}$$
- $$(-3x^2)^5$$

See development and solution

### Development:

- $$(3\cdot5)\cdot(xy\cdot xyz)$$
- $$\dfrac{5}{3}\cdot\dfrac{z^5x}{z^3x^2}=\dfrac{5}{3}\cdot\dfrac{z^5}{z^3}\cdot\dfrac{x}{x^2}$$
- $$(-3)^5\cdot(x^2)^5=-3^5\cdot x^10$$

### Solution:

- $$15x^2y^2z$$
- $$\dfrac{5}{3}\dfrac{z^2}{x}$$
- $$-243x^10$$