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Algebra 1 : How to divide monomial quotients

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Example Questions

Example Question #62 : Monomials

Divide the following monomial quotients:

$\frac{12y^{3}}{2}$

Possible Answers:

$24y^{3}$

$6y^{3}$

$2y^{3}$

$6x^{3}$

Correct answer:

$6y^{3}$

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{12}{2}=6$

2. Combine this with the lone variable to get the final answer:

$6y^{3}$

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Example Question #63 : Monomials

Divide the folloiwng monomial quotients:

$\frac{36x^{2}y^{3}}{12xy}$

Possible Answers:

4xy

$6x^{3}y$

$3xy^{2}$

$3x^{2}y^{2}$

Correct answer:

$3xy^{2}$

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{36}{12}=3$

2. Divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

$\frac{x^{2}}{x} =x^{2-1}=x$

$\frac{y^{3}}{y}=y^{2}$

Combine these to get the final answer:

$3xy^{2}$

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Example Question #64 : Monomials

Divide the following monomial quotients:

$\frac{25xy^{2}}{5y}$

Possible Answers:

5xy

$5x^{2}y$

Correct answer:

5xy

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{25}{5}=5$

2. Divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

$\frac{x}{1} =x^{1}=x$

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

Combine these to get the final answer:

5xy

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Example Question #65 : Monomials

Divide the following monomial quotients:

$\frac{15xy^{3}}{5x}$

Possible Answers:

$3x^{2}y$

3xy

$3y^{3}$

$y^{3}$

Correct answer:

$3y^{3}$

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{15}{5}=3$

2. Divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

$\frac{x}{x} =x^{1-1}=1$

$\frac{y^{3}}{1}=y^{3}$

Combine these to get the final answer:

$3y^{3}$

Report an Error

Example Question #66 : Monomials

Divide the following monomial quotients:

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

Possible Answers:

$2x^{2}$

$\frac{x}{2}$

$\frac{x^{2}}2{}$

Correct answer:

$\frac{x}{2}$

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{7}{14}=\frac{1}{2}$

2. Divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

$\frac{x^{2}}{x} =x^{2-1}=x$

Combine these to get the final answer:

$\frac{x}{2}$

Report an Error

Example Question #67 : Monomials

Divide the following monomial quotients:

$\frac{8xy}{2x}$

Possible Answers:

8xy

$\frac{4}{y}$

Correct answer:

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{8}{2}=4$

2. Divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

$\frac{x}{x} =x^{1-1}=1$

$\frac{y}{1}=y$

Combine these to get the final answer:

Report an Error

Example Question #491 : Variables

Divide the following monomial quotients:

$\frac{42x^{3}y^{2}}{6xy}$

Possible Answers:

14xy

$6xy^{2}$

7xy

$7x^{2}y$

Correct answer:

$7x^{2}y$

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{42}{6}=7$

2. Divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

$\frac{x^{3}}{x} =x^{3-1}=x^{2}$

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

Combine these to get the final answer:

$7x^{2}y$

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Example Question #492 : Variables

Divide the following monomial quotients:

$\frac{40x^{3}}{5x}$

Possible Answers:

$8x^{2}$

$8x^{4}$

$7x^{2}$

Correct answer:

$8x^{2}$

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{40}{5}=8$

2. Divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

$\frac{x^{3}}{x} =x^{3-1}=x^{2}$

Combine these to get the final answer:

$8x^{2}$

Report an Error

Example Question #493 : Variables

Divide the following monomial quotients:

$\frac{33x^{2}}{11x}$

Possible Answers:

$3x^{2}$

11x

$3x^{3}$

Correct answer:

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{33}{11}=3$

2. Divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

$\frac{x^{2}}{x} =x^{2-1}=x$

Combine these to get the final answer:

Report an Error

Example Question #494 : Variables

Divide the following monomial quotients:

$\frac{x^{3}y^{2}z}{xy}$

Possible Answers:

$x^{2}yz$

$xyz^{2}$

xyz

Correct answer:

$x^{2}yz$

Explanation:

To solve this problem, divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

$\frac{x^{3}}{x} =x^{3-1}=x^{2}$

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

$\frac{z}{1}=z$

Combine these to get the final answer:

$x^{2}yz$

Report an Error

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Algebra 1 : How to divide monomial quotients

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #62 : Monomials

Example Question #63 : Monomials

Example Question #64 : Monomials

Example Question #65 : Monomials

Example Question #66 : Monomials

Example Question #67 : Monomials

Example Question #491 : Variables

Example Question #492 : Variables

Example Question #493 : Variables

Example Question #494 : Variables

All Algebra 1 Resources

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