# Algebra 1 : How to multiply monomial quotients

## Example Questions

### Example Question #571 : Variables

Multiply the following monomial quotients:

Explanation:

To solve this problem, split it into two steps:

1. Multiply the coefficients

2. Multiply the variables. We also need to remember the following laws of exponents rule: When multiplying variables, add the exponents.

Combine these to get the final answer:

### Example Question #572 : Variables

Multiply the following monomial quotients:

Explanation:

To solve this problem, split it into two steps:

1. Multiply the coefficients

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

### Example Question #573 : Variables

Simplify the following:

Explanation:

To solve, simply multiply numerators and denominators and then simplify. Thus,

### Example Question #574 : Variables

Choose the answer that is equal to .

Explanation:

First multiply 4 and 12 to get the expression

.

Then remember that to multiple like terms with exponents, add the exponents.

### Example Question #575 : Variables

Choose the expression that is equal to .

Explanation:

Remember that to multiply like variables with exponents you add the exponents.

This gives .

Also remember that a variable raised to a negative exponential is the same as 1/that same variable to that positive exponential.

For example,  is equivalent to .

### Example Question #576 : Variables

Multiply:

Explanation:

Write out the factors of the second term to see what terms can be cancelled in the numerator and denominator.

After cancellation of common terms, the answer is:

### Example Question #577 : Variables

Simplify the expression . What is the degree of the simplified monomial?

Explanation:

The degree of a monomial term is the sum of its exponents, which here is

.

### Example Question #578 : Variables

Simplify the expression . What is the exponent of  ?

Explanation:

The exponent of  is 7.

### Example Question #579 : Variables

Simplify: .

What is the exponent of  in the simplified form, and does it appear in the numerator or denominator?

1, in the numerator

does not appear in the simplified form of the expression

2, in the denominator

2, in the numerator

1, in the denominator

1, in the denominator

Explanation:

The exponent of is 1, in the denominator.

### Example Question #580 : Variables

Simplify: .

What is the exponent of in the simplified form, and does it appear in the numerator or denominator?

1, in the denominator

2, in the denominator

does not appear in the simplified form of the expression

2, in the numerator

1, in the numerator