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

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

modeling

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

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

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

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

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

Structured practice

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

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

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

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

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

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