# Rational Exponents

- 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

**Rational Exponents**

*Write each radical expression using exponent notation.*

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

**Adding and Subtracting Radicals**

*All variables in the following exercises represent positive numbers. Simplify the sums and differences. Give exact answers.*