1. Rational Exponents a.k.a. Fractional Exponents
Algebra Unit 6 Part 2
Standard:

2. WARM-UP: DISCUSS WITH YOUR PARTNER
Simplify. 1. 2. 3. 4. 5. 8

3. modeling

4. RECALL: nth ROOT RULE m is the power (exponent) n is the root
a is the base

5. steps Step 1 – change radical to exponential form
Step 2 – Use exponent rules to simplify
People Never Regret My Delicious Soup
Parenthesis, Negative Exponents, Rewrite, Multiply, Divide, Simplify
We won’t need the Rewrite step
Step 3 – Change to a radical & simplify if possible
Only need step 3 if exponent is a fraction

6. Example 1 Product rule Step 1 – change radical to exponential form
Step 2 – Use exponent rules to simplify
PEMDAS
Step 3 – Change to a radical & simplify if possible
Only need step 3 if exponent is a fraction
Product
rule

7. Example 2 Power Rule Step 1 – change radical to exponential form
Step 2 – Use exponent rules to simplify
PEMDAS
Step 3 – Change to a radical & simplify if possible
Power
Rule

8. Example 3 Quotient rule Step 1 – change radical to exponential form
Step 2 – Use exponent rules to simplify
PEMDAS
Step 3 – Change to a radical & simplify if possible
Quotient
rule

9. Structured practice

10. Structured practice 1 Step 1 – change radical to exponential form
Step 2 – Use exponent rules to simplify
PEMDAS
Step 3 – Change to a radical & simplify if possible

11. Structured practice 2 Product To power rule
Step 1 – change radical to exponential form
Step 2 – Use exponent rules to simplify
PEMDAS
Step 3 – Change to a radical & simplify if possible
Product
To power
rule

12. Guided practice Do problems on your own Label the steps
Then compare answers with your partner

13. guided practice 1 Step 1 – change radical to exponential form
Step 2 – Use exponent rules to simplify
PEMDAS
Step 3 – Change to a radical & simplify if possible

14. guided practice 2 Step 1 – change radical to exponential form
Step 2 – Use exponent rules to simplify
PEMDAS
Step 3 – Change to a radical & simplify if possible

15. independent practice
Complete the classwork and turn it in before you leave