Algebra 1 : How to divide monomial quotients

Example Questions

Example Question #51 : How To Divide Monomial Quotients

Divide:

Explanation:

To simplify the monomial, simply write out the terms of the common factors for the numerator and denominator.

The terms  and  can be divided easily, resultiing to one.

Simplify the fraction.

Example Question #52 : How To Divide Monomial Quotients

Divide:

Explanation:

Each variable in this expression can be solved separately.  When we are dividing the powers of the same base, we can simply subtract the powers.

The negative exponent can be converted to:

Dividing the  terms on the numerator and denominator will give us .

Divide  and simplify to a fraction.

Multiply all the terms.

Example Question #53 : How To Divide Monomial Quotients

Divide:

Explanation:

Write out the factors for the numerator and denominator.

Cancel the common factors on the top and bottom.

Example Question #54 : How To Divide Monomial Quotients

Simplify the following:

Explanation:

Given the problem

we will write it like

We can easily simplify the first part

Now, when dividing, to simplify monomials containing the same base, you substract their exponents.  We get

Example Question #55 : How To Divide Monomial Quotients

Solve:

Explanation:

In order to solve this expression, we need to write out the factors of the numerator and denominator.

We can then cancel out the common terms.

Example Question #56 : How To Divide Monomial Quotients

Divide:

Explanation:

In order to divide, we should split the top and bottom into their factors.

The six and  terms can be cancelled in the numerator and denominator.

Example Question #57 : How To Divide Monomial Quotients

Divide:

Explanation:

When similar bases of a certain power are divided, their powers can be subtracted.

Evaluate each term.

When dealing with negative exponents, they can be rewritten as the reciprocal of the positive exponent.

Multiply all the terms together.

Example Question #58 : How To Divide Monomial Quotients

Divide the monomials:

Explanation:

Rewrite both the numerator and denominator by factors.

Cancel all the common terms on the top and bottom.

Example Question #59 : How To Divide Monomial Quotients

Divide the monomials:

Explanation:

Some of the terms of the given expression can already be simplified.

Cancel out the  terms.

When we are dividing powers of a similar base, it is the same as subtracting the exponents.

A negative exponent can be written as one over the base's positive exponent.

Multiply both terms together.

Simplify: