1. Section 3.1: Understanding Rational Exponents and Radicals

2. Objective:
By following instructions, students will be able to:
Determine how radicals and rational exponents are related.

3. Formulas
Words
Any non-zero number raised to the power of 0 is 1.
00=undefined
And integer n.
Any non-zero number raised to a negative power is equal to 1 divided by the same number raised to the opposite, positive power.
Examples

4. n=index, must be greater than 1
a= radicand
Power of a Power Property
Rational Exponent

5. Find the root and simplify the expression.
explain 1A

6. Find the root and simplify the expression.
explain 1b

7. Your-Turn #1
Find the root and simplify the expression.
a) b)

8. explain 2A
Simplify the expressions with rational exponents.

9. explain 2B
Simplify the expressions with rational exponents.

10. Revisit Objective:
Did we...
Determine how radicals and rational exponents are related?

11. HW:
Sec 3.1 pg 74 #s 1-23, 26, 27, 28