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Warm Up • Evaluate • 1. • 2.

Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

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VOCAB Like Radicals – when 2 terms have the same index

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Page 1: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

Warm Up

• Evaluate• 1. • 2.

Page 2: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

Algebra 3Chapter 7: POWERS, ROOTS, and

RADICALSLesson 2: Properties of Rational

Exponents

Page 3: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

VOCAB

• Like Radicals – when 2 terms have the same index

Page 4: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

Today

• Today we will learn how to simplify rational expressions to make them easier.

Page 5: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

Properties• add exponents• multiply exponents• distribute exponent• change the spot and make power

opposite• subtract exponents• distribute exponent

Page 6: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

Directions

• Combine Like radicals• Find a property that looks like the problem

and do what the property does.

Page 7: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

I DO (Simplifying)

• Simplify the expression• 1. • 2. • 3. • 4.

Page 8: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

WE DO (Simplifying)

• Simplify the expression• 1. • 2. • 3. • 4.

Page 9: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

YOU DO (Simplifying)

• Simplify the expression• 1. • 2. • 3. • 4.

Page 10: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

REVIEW

• What did you learn?

Page 11: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

Homework

• Worksheet– 7.2B (1 – 9)

Page 12: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

Warm Up

•Simplify•1. •2.

Page 13: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

Algebra 3Chapter 7: POWERS, ROOTS, and

RADICALSLesson 2: Properties of Rational

Exponents

Page 14: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

Today

• Yesterday we learned how to simplify rational expressions to make them easier.

• Today we are doing the same thing but with variables.

Page 15: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

Properties• add exponents• multiply exponents• distribute exponent• change the spot and make power

opposite• subtract exponents• distribute exponent

Page 16: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

Directions

• Combine Like radicals• Find a property that looks like the problem

and do what the property does.

Page 17: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

LETS TALK

• What does the following mean?

Page 18: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

Logic

• ???• ???

• What can I determine about radicals and variables?

• When I have a ___ root and a bigger power of a variable underneath the root, I will _______ the ________

Page 19: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

I DO (Simplifying with Variables)• Simplify the expression• 1. • 2. • 3. • 4.

Page 20: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

WE DO (Simplifying with Variables)• Simplify the expression• 1. • 2. • 3. • 4.

Page 21: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

YOU DO (Simplifying with Variables)• Simplify the expression• 1. • 2. • 3. • 4.

Page 22: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

REVIEW

• What did you learn?• How is this different from what you learned

yesterday?

Page 23: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

Homework

• Worksheet– 7.2B (10 - 24)

Page 24: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

Warm Up

•Simplify

Page 25: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

Algebra 3Chapter 7: POWERS, ROOTS, and

RADICALSLesson 2: Properties of Rational

Exponents

Page 26: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

Today

• The past 2 days we learned how to simplify radical expressions

• Today we are going to learn how to combine like radical expressions

Page 27: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

Directions (Add and Subtract)

• Find like radicals• Make the radicand be the same number• Perform the given operation to ONLY the

outside number

Page 28: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

I DO ( Like Radicals)• Simplify the like radicals• 1. • 2. • 3. • 4.

Page 29: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

WE DO ( Like Radicals)• Simplify the like radicals•1. •2. •3. •4.

Page 30: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

YOU DO ( Like Radicals)• Simplify the like radicals• 1. • 2. • 3. • 4.

Page 31: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

Question

• What if the powers aren’t the same?

Page 32: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

REVIEW

• Today we learned how to combine like radicals

Page 33: Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents

Homework

• Worksheet– 7.2B (25 - 30)