Exponents - College Level

Simplify:

Answer:

Explanation:

The steps involved in solving this problems are as follows:

1) Separate each inside the first parenthesis and raise each term to the second power as

shown below.

2) Do the same for the terms inside the second set of parenthesis.

3) Working with the first term, do the following steps:

• Raise the number (3) to the second power by multiplying it by itself which results in (9).
  
• The rules of exponents states that when raising a variable to an exponent, the exponents are multiplied together. Therefrore the second term becomes (x) raised to the sixth power.
  
• The same applies to (y) and we get (y) raised to the eigth power.
  
• Repeate those steps for the terms inside the second pair of parenthesis.
  
• Now combine like terms. This means the numbers can be multiplied together and the exponents on the variables are added together. Remember that the second rule of exponents states that when two similar variables are multiplied together, their exponents are added.
  
• The entire problem is worked out below.
  
  
  

For additional information go to: The laws of Exponents


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