# MAT222 WEEK 3 TWO PROBLEMS

**Question description**

In this discussion, you will simplify and compare equivalent expressions written both in radical form and with rational (fractional) exponents. Read the following instructions in order and view the example to complete this discussion. Please find the rational exponent problems assigned....

*- Simplifying Expressions Involving Variables-*

**# 68. **

*Simplify each expression. Write your answers with positive exponents. Assume that all variables represent positive real numbers.*

**#80. **

READ DIRECTIONS THOROUGHLYMAT222.W3.DiscussionExample.pdf

- Simplify each expression using the rules of exponents and examine the steps you are taking.

- Incorporate the following five math vocabulary words into your discussion. Use
**bold**font to emphasize the words in your writing (**Do not write definitions for the words; use them appropriately in sentences describing the thought behind your math work**.):- Principal root
- Product rule
- Quotient rule
- Reciprocal
*n*th root

Another solution is to type the letters “sqrt” in place of the radical and use parenthesis to indicate how much is included in the radical as described in the second method above. The example above would appear as either “sqrt(12) + 9” or “sqrt(12 + 9)” depending on what we needed it to say.

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