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Five-Minute Check (over Lesson 6–5)
CCSS
Then/Now
Key Concept:
Example 1: Radical and Exponential Forms
Example 2: Evaluate Expressions with Rational Exponents
Key Concept: Rational Exponents
Example 3: Real-World Example: Solve Equations with Rational Exponents
Example 4: Simplify Expressions with Rational Exponents
Example 5: Simplify Radical Expressions
Concept Summary: Expressions with Rational Exponents
You used properties of exponents.
• Write expressions with rational exponents in radical form and vice versa.
• Simplify expressions in exponential or radical form.
Evaluate Expressions with Rational Exponents
Method 1
Answer: 4
Power of a Power
Factor.
Expand the square.
Find the fifth root.
B. Evaluate .
Evaluate Expressions with Rational Exponents
Answer: 4
Method 2 32 = 25
Power of a Power
Multiply exponents.
22 = 4
Solve Equations with Rational Exponents
B = 168
Answer: The formula predicts that he can lift at most 472 kg.
WEIGHTLIFTING The formulacan be used to estimate the maximum total massthat a weightlifter of mass B kilograms can liftusing the snatch and the clean and jerk.
Original formula
According to the formula, what is the maximumthat a weightlifter weighing 168 kilograms can lift?
A. 300 kg
B. 340 kg
C. 380 kg
D. 400 kg
Use the formula where M isthe maximum total mass that a weightlifter ofmass B kilograms can lift. According to theformula, what is the maximum that a weightliftercan lift if he weighs 80 kilograms?
Simplify Radical Expressions
B. Simplify .
Rational exponents
22 = 4
Power of a Power
Multiply.
Simplify.
Answer: