Product Rule of Exponents

The product rule tells us that if we're multiplying 2 terms with exponents, we add the exponents. However, that is only applicable for 2 terms with the same base. In this case, our bases are different variables, so we can't use the product rule. This expression is as simplified as possible.

Remember that when multiplying variables with exponents, the following property holds true:

With this knowledge, we can solve the problem:

The answer is .

The exponent represents how many times the term is being multiplied. So, for example, means and would be

So the first term

And the second term

Since the two terms are only separated by parentheses, they are being all multiplied together.

First multiply the coefficients,

We also have a total of 6 's and 1 all being multipled together.

The final answer is

When you multiply exponents with the same base, you add the exponents:

Use the product rule of exponents, which states that when multiplying expression(s) with the same base, you add the exponents together:

Therefore the correct answer is .

When you multiply exponents you will end up adding the two numbers so you will get:

which is

When multiplying variables with exponents, we must remember the Product Rule of Exponents:

Step 1: Reorganize the terms so the terms are together:

Step 2: Multiply :

Step 3: Use the Product Rule of Exponents to combine and , and then __and :

To simplify it helps to understand what it means. just means x times itself 3 times, . means multiply times itself, or . We can simplify that by multiplying and . Multiplying both terms together gives us . This is a 9 and 5 x's being multiplied together, or .

According to the power rule for exponents, if a quantity is raised to a certain exponent, the powers of the inner quantity can be multiplied with the power outside the parentheses.

Eliminate the negative exponent by the following rule: