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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