1. 4 minutes
Warm-Up
Identify each transformation of the parent function f(x) = x2.
1) f(x) = x2 + 5
2) f(x) = (x + 5)2
3) f(x) = 5x2
4) f(x) = -5x2
5) f(x) = (5x)2 6)

2. Objectives: -Simplify and rationalize radical expresseions
6.3 Radical Expressions
Objectives:
-Simplify and rationalize radical expresseions

4. Concept: Radical –v- Exponent cont… .

5. Concept: Radical –v- Exponent cont… .1. 2. 3.

6. Concept: Rationalizing Radicals (Advanced).
Remember: you are looking for
factors that are
perfect cubes.

7. Concept: Rationalizing Radicals cont….

8. Concept: Rationalizing Radicals cont….

9. Concept: Rationalizing Radicals cont….

10. Concept: Radical to Exponent Form.

11. Concept: Radical to Exponent Form.

12. Concept: Simplifying Radical Expressions.

13. Concept: Simplifying Radical Expressions.

14. Concept: Simplifying Radical Expressions.

15. Concept: Your Try!!!.

16. Homework Time
PM 6.3

17. Concept: The nth Root Rule .
m is the power (exponent)
n is the root
a is the base 17

18. Concept: The nth Root Rule cont… .
Looking at the rules
Another way of writing is 251/2.
is written in radical expression form.
251/2 is written in rational exponent form.
Why is square root of 25 equals out of 25 raised to ½ power?

19. Concept: The nth Root Rule cont… .
Ex#6:
Evaluate 43/2 in radical form and simplify.

20. Concept: The nth Root Rule cont… .
Ex#7:
Evaluate –274/3 in radical form and simplify.
Hint: Remember, the negative is OUTSIDE of the base
Use calculator to check

21. Concept: The nth Root Rule cont… .
Ex#7:
Evaluate 1000-x/3 in radical form and simplify.

22. Concept: The nth Root Rule cont… .
Ex#8:
Evaluate in radical form and simplify.

23. Concept: The nth Root Rule cont… .
Ex#8:
Evaluate in rational expression and simplify.

24. Concept: The nth Root Rule cont… .
Ex#9:
Evaluate in rational expression and simplify.

25. 1000 Concept: The nth Root Rule cont… .
You Try: Simplify Assume that all variables are positive.
1000

26. Concept: Exponent Review.
Product of a Power:
Power of a Power:
Power of a Product:
Negative Power Property:
Quotient Power Property: 26

27. Concept: Operations
Simplify Assume that all variables are positive.
Product of Powers. 72
Simplify. 49
Evaluate the Power. 27

28. Concept: Operations cont… ..
Simplify Assume that all variables are positive.
Quotient of Powers.
Simplify and use your calculator
Negative Exponent Property. 1 4
Evaluate the power. 28

29. Concept: Operations cont… ..
Simplify Assume that all variables are positive and leave answer in radical form. 29

30. Concept: Operations cont… ..
Simplify Assume that all variables are positive and leave answer in radical form. 30

31. ( ) Concept: Your Turn To Try! .. Simplify each expression. 1. 2
2. Write (–216) in radical form and simplify. 2 3
= 36 ( ) - 2 3
216 5 3 21
3. Write using rational exponents. 3 5 21 31