Problems from Operations with monomials

Calculate the result of the following operations with monomials:

1. $3xy\cdot5xyz$
2. $\dfrac{5z^5x}{3z^3x^2}$
3. $(-3x^2)^5$
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Development:

1. $(3\cdot5)\cdot(xy\cdot xyz)$
2. $\dfrac{5}{3}\cdot\dfrac{z^5x}{z^3x^2}=\dfrac{5}{3}\cdot\dfrac{z^5}{z^3}\cdot\dfrac{x}{x^2}$
3. $(-3)^5\cdot(x^2)^5=-3^5\cdot x^10$

Solution:

1. $15x^2y^2z$
2. $\dfrac{5}{3}\dfrac{z^2}{x}$
3. $-243x^10$
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