# ISEE Middle Level Math : How to multiply variables

## Example Questions

### Example Question #61 : Algebra

Simplify:

Explanation:

Begin by moving all of the related variables (and constants) next to each other. You can group these in parentheses to make it clear. This is allowed because of the associative rule for multiplication.

There are no variables to combine. We only need to combine the numerical coefficient. This gets you:

This is the same as:

### Example Question #62 : Algebra

Simplify:

Explanation:

Begin by moving all of the related variables (and constants) next to each other. You can group these in parentheses to make it clear. This is allowed because of the associative rule for multiplication.

When multiplying variables of the same type, you add their exponents together. This gets you:

This is the same as:

### Example Question #63 : Algebra

Simplify:

Explanation:

Begin by moving all of the related variables (and constants) next to each other. You can group these in parentheses to make it clear. This is allowed because of the associative rule for multiplication.

When multiplying variables of the same type, you add their exponents together. This gets you:

This is the same as:

### Example Question #64 : Algebra

Simplify:

Explanation:

Distribute the outside term into the parentheses. Multiply each term in parentheses by :

Now, for each member, move the similar variables into separate groups. You can do this because of the associative rule for multiplication:

When multiplying variables of the same type, you add their exponents together. This gets you:

This is the same as:

### Example Question #65 : Algebra

Simplify:

Explanation:

Distribute the outside term into the parentheses. Multiply each term in parentheses by :

Now, for each member, move the similar variables into separate groups. You can do this because of the associative rule for multiplication:

When multiplying variables of the same type, you add their exponents together. This gets you:

This is the same as:

### Example Question #66 : Algebra

Simplify:

Explanation:

Distribute the outside term into the parentheses. Multiply each term in parentheses by :

Now, for each member, move the similar variables into separate groups. You can do this because of the associative rule for multiplication:

When multiplying variables of the same type, you add their exponents together. This gets you:

This is the same as:

### Example Question #67 : Algebra

Cannot be simplified further

Explanation:

### Example Question #68 : Algebra

Cannot be simplified further

Explanation:

Because the two terms have the same base, they can be multiplied together by adding the exponents:

### Example Question #69 : Algebra

Cannot be simplified further

Explanation:

To simplify the expression, add the exponents and keep the base unchanged: