Question

Directions: Simplify the following monomials.SHOW ALL STEPS!

Answer 1

Answer:

Please see the attached images for steps to solve the questions:

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Answer 2

Answer:

$1) \frac{6a^5b^7}{-2a^3b^7}$

• $\frac{6a^5b^7}{2a^3b^7}$

• $\frac{6}{2}=3$

• $\frac{3a^5b^7}{a^3b^7}$

• $\frac{a^5}{a^3}=a^{5-3}$

• $5-3=2$

• $\frac{3a^2b^7}{b^7}$

$-3a^2$

_____________

$2)\frac{-20x^3y^2}{-5x^3y}$

$\frac{20x^3y^2}{5x^3y}$

$\frac{20y^2}{5y}$

$\frac{5\cdot \:4y^2}{5y}$

$\frac{4y^2}{y}$

$\frac{y^{2} }{y}$

$4y$

__________

$3)\frac{-16ab^4}{4b^3}$

$\frac{-4\cdot \:4ab^4}{4b^3}$

$\frac{-4ab^4}{b^3}$

$\frac{b^{4} }{b^{3} } =b$

$-4ab$

____________

$4)\frac{21m^8n^5}{27m^5n^4}$

$\frac{3\cdot \:7m^8n^5}{27m^5n^4}$

$\frac{3\cdot \:7m^8n^5}{3\cdot \:9m^5n^4}$

$\frac{7m^8n^5}{9m^5n^4}$

$\frac{7m^3n^5}{9n^4}$

$\frac{7m^3n}{9}$

____________

$5)\frac{-15x^5y^4}{45xy^3}$

$\frac{-15x^5y^4}{15\cdot \:3xy^3}$

$\frac{-x^5y^4}{3xy^3}$

$\frac{-x^4y^4}{3y^3}$

$\frac{-x^4y}{3}$

$-\frac{x^4y}{3}$

__________

$6)\frac{7p^2q^2}{14p^2q^2}$

$\frac{7q^2}{14q^2}$

$\frac{7}{14}$

$\frac{1}{2}$

___________

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