We first need to apply the Exponent Rule to our two terms.

 and

 .

Then we do subtraction to obtain our final answer,

 .

The correct answer is  due to the law of exponents. When solving this type of problem, it is easiest to focus on like terms (i.e. terms containing x or terms containing y).

First we can start by simplifying the 'x' terms. We start with  which is equivalent to . We then are left with .

Now we can simplify the 'y' terms as follows: .

Last, the 'z' terms can be simplified as follows: .

This leaves us with the final simplified answer of .

Since all of the answer choices look like , let's find  in  .

Then,

When you have an exponent being raised to an exponent, multiply the exponents together.

When terms with the same base are multiplied, multiply the coefficients together then add up all the exponents.

For the coefficients: 

For the exponents: 

Thus, the answer is 

Start by simplifying the numerator. 

When an exponent is raised to another exponent, multiply the two exponents together.

Now, tackle the denominator. When two numbers of the same base are multiplied, you want to add the exponents.

Put the numerator and denominator together:

When you have a fraction with terms that have the same base, you want to subtract the exponent in the denominator from the exponent in the numerator.

To make a term with a negative exponent in the numerator positive, put it in the denominator.

To factor an expression in the form , we need to find factors of  that add up to .

In this case,  and .

Start by listing factors of 24 and adding them up. You want the one that adds up to 10.

Because 4 and 6 are the factors that we need, you can then write

To check if you factored correctly, you can multiply the two factors together. If you end up with the original expression, then you are correct.

First, we need to factor the numerator and the denominator separately.

To factor an expression with the form , we will need to find factors of  that add up to be.

For the numerator, ,  and .

Write down the factors of  and add them up.

Since  and  add up to , 

Now, do the same thing with the denominator, .

Since  and  add up to , .

Now, stack these factors up as fractions:

Since both the numerator and denominator have the factors (x+6), they cancel each other out because they divide to 1.

Then,

When you factor an expression, you are separating it into its basic parts. When you multiply those parts back together, you should obtain the original expression.

The first step when factoring an expression is to see if all of the terms have something in common. In this case, , , and  all have an  which can be taken out:

The next step is to focus on what's in the parentheses. To factor an expression of form , we want to try to find factors , where  and . We therefore need to look at the factors of  to see if we can find two that add to :

We've found our factors! We can therefore factor what's inside the parentheses, , as . If we remember the  we factored out to begin with, our final completely factored answer is:

This question requires you to understand order of operations, which is represented by the acronym "PEMDAS": parentheses, exponents, multiplication and division, addition and subtraction.

Solve the expression within the parenthesis first, beginning with multiplication:

The next operation in the order of operations is division.

Finally, use addition to solve the equation:

To factor an equation in the form , where  and , you must find factors of  that add up to .

List the factors of 36 and add them together:

Since ,  is the factor we need. Plug this factor in to get the final answer.