1. Opener 2. Give an explanation for step 2.
1. Simplify the exponential expression
2. Give an explanation for step 2.
simplify
Prime factor the radicand 1. 2. 3.
Simplify

2. Opener
1. Simplify the exponential expression

3. Opener 2. Give an explanation for step 2. Simplify simplify
Prime factor the radicand 1. 2. 3.
Simplify

4. HW ?'s

5. Essential Question Learning Objective
How do you define a number raised to a half or third power?
I will explain how a rational exponent is defined in radical terms.

6. d The relationship between the duration of a satellite's orbit
and its distance from the
center of the earth is given
by the equation: d

7. Defining Rational 
Exponents

8. Key Terms: Equivalent - expressions that represent the same "thing"

9. Are these expressions equivalent?
(yes/no) these expressions are equivalent because...

10. Are these expressions equivalent?
(yes/no) these expressions are equivalent because...

11. (xxx)
(xxx)
(xxx)
(xxx)

12. Are these expressions equivalent?
You will be expected to be able to explain this.
Are these expressions equivalent?

13. Teach your partner:
Imagine that your partner was absent and it is your job to teach 
them what they missed.

14. Teach your partner: 1st Explain why
Imagine that your partner was absent and it is your job to teach 
them what they missed.
Explain why
1st

15. Teach your partner:
Imagine that your partner was absent and it is your job to teach 
them what they missed.
2nd

16. Teach your partner: 3rd Think of a plan for how you will explain
Imagine that your partner was absent and it is your job to teach 
them what they missed.
Think of a plan for how you will explain
this concept.
3rd

17. Teach your partner: 4th Teach your partner.
Imagine that your partner was absent and it is your job to teach 
them what they missed.
Teach your partner.
4th
Listening task: did your partner explain it the same way you would?
did they leave something out?

18. Think / Write / Share
Why do you need to know the "power of 
a power rule for exponents" for the 
definition?
Red
Why do you need to know that roots 
and powers are inverse operations for 
the definition?
Blue
THINK
WRITE
SHARE
Sent. Starter:
"You need to know _____ because..."

19. 1. 2. 3. Closure Match the explanation to its corresponding steps.
Explain why
Closure
Match the explanation to its corresponding steps.
a) Using the "powers of powers" 
rule, if you square x to the half 
power, you will multiply one-half 
and two to get a product of one. x 
to the first power is x. 1. 2. 3.
b) Since both expressions reduce to x
when you square them, they must be 
equivalent.
c) If you square the square root of 
x, you get x because they are 
inverse operations.

20. Essential Question Learning Objective
How do you define a number raised to a 
half or third power?
I will explain how a rational exponent is defined in radical terms.

21. HW
Math II
Rational Exp PDF