Algebra 1 : How to divide monomial quotients

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #11 : Multiplying And Dividing Exponents

Simplify the rational expression.

Possible Answers:

Correct answer:

Explanation:

To simplify variables with exponents through division, you must subtract the exponent in the denominator from the numerator.

Remember that negative exponents will eventually be moved back to the denominator.

Example Question #51 : Monomials

Divide the fractions.

Possible Answers:

Correct answer:

Explanation:

Dividing fractions is equal to multiplying by the reciprocal.

Cross-cancel the 30 with the 25, and the 22 with the 11.

Combine via multiplication and simplify.

Example Question #57 : Monomials

Simplify  

Possible Answers:

Correct answer:

Explanation:

Rewrite so that you are multiplying the reciprocal of the second fraction:

You can then simplify using rules of exponents:

Example Question #4712 : Algebra 1

Evaluate:

Possible Answers:

Correct answer:

Explanation:

First, divide the coefficients.

.

Now consider the variables. means x times itself 3 times. Doing is the same as .

We see that an x from the top can cancel with the x on the bottom, leaving , or . Our answer then is .

Example Question #59 : Monomials

Divide:  

Possible Answers:

Correct answer:

Explanation:

Dividing exponents by the same base allows the powers to be subtracted.  Rewrite the exponents as one base.

Example Question #13 : How To Divide Monomial Quotients

Find the result of

.

Possible Answers:

Correct answer:

Explanation:

The question asks for the quotient of .

We can rewrite the expression using the rules of multiplication and exponents to find the answer of .

Example Question #14 : How To Divide Monomial Quotients

Divide:  

Possible Answers:

Correct answer:

Explanation:

Notice that both bases are the same.  The power of the base in the numerator is one.

Since the bases are divided, simply subtract the powers.

Example Question #61 : Monomials

Divide the following monomial quotients:

Possible Answers:

Correct answer:

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

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

Combine these to get the final answer:

Example Question #15 : How To Divide Monomial Quotients

Divide the following monomial quotients:

Possible Answers:

Correct answer:

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

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

Combine these to get the final answer:

Example Question #64 : Monomials

Divide the following monomial quotients:

Possible Answers:

Correct answer:

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.

Combine these to get the final answer:

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