Example 7-1a Write in radical form. Answer: Definition of.

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Presentation transcript:

Example 7-1a Write in radical form. Answer: Definition of

Example 7-1b Write in radical form. Answer: Definition of

Write each expression in radical form. a. b. Example 7-1c Answer:

Example 7-2a Write using rational exponents. Definition of Answer:

Example 7-2b Write using rational exponents. Definition of Answer:

Write each radical using rational exponents. a. b. Example 7-2c Answer:

Example 7-3a Evaluate Method 1 Answer: Simplify.

Example 7-3b Multiply exponents. Method 2 Answer: Power of a Power

Example 7-3c Answer: The root is 4. Evaluate. Method 1Factor. Power of a Power Expand the square. Find the fifth root.

Example 7-3d Answer: The root is 4. Power of a Power Multiply exponents. Method 2

Evaluate each expression. a. b. Example 7-3e Answer: 8 Answer:

Example 7-4a According to the formula, what is the maximum that U.S. Weightlifter Oscar Chaplin III can lift if he weighs 77 kilograms? Answer: The formula predicts that he can lift at most 372 kg. Weight Lifting The formula can be used to estimate the maximum total mass that a weight lifter of mass B kilograms can lift in two lifts, the snatch and the clean and jerk, combined. Original formula Use a calculator.

Example 7-4b Oscar Chaplin’s total in the 2000 Olympics was 355 kg. Compare this to the value predicted by the formula. Answer: The formula prediction is somewhat higher than his actual total. Weight Lifting The formula can be used to estimate the maximum total mass that a weight lifter of mass B kilograms can lift in two lifts, the snatch and the clean and jerk, combined.

Example 7-4c Answer: 380 kg Answer: The formula prediction is slightly higher than his actual total. Weight Lifting Use the formula where M is the maximum total mass that a weight lifter of mass B kilograms can lift. a. According to the formula, what is the maximum that a weight lifter can lift if he weighs 80 kilograms? b. If he actually lifted 379 kg, compare this to the value predicted by the formula.

Example 7-5a Simplify. Multiply powers. Answer: Add exponents.

Example 7-5b Simplify. Multiply by

Example 7-5c Answer:

Simplify each expression. a. b. Example 7-5d Answer:

Example 7-6a Simplify. Rational exponents Power of a Power

Quotient of Powers Answer:Simplify.

Example 7-6c Simplify. Rational exponents Power of a Power Answer:Simplify. Multiply.

Example 7-6d Answer:Multiply. Simplify. is the conjugate of

Example 7-6e Answer: 1 Simplify each expression. a. b. c. Answer: