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Essential Question: What is a rational exponent and how do you simplify an expression that has one? Assessment: Students will demonstrate verbally in a class discussion. Warm Up

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Essential Question: What is a rational exponent and how do you simplify an expression that has one? Assessment: Students will demonstrate verbally in a class discussion. Key Terms Rational – Involving a _____________

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Page 1: Essential Question: What is a rational exponent and how do you simplify an expression that has one? Assessment: Students will demonstrate verbally in a

Essential Question: What is a rational exponent and how do you simplify an expression that has one?Assessment: Students will demonstrate verbally in a class discussion.

Warm Up

Page 2: Essential Question: What is a rational exponent and how do you simplify an expression that has one? Assessment: Students will demonstrate verbally in a

Essential Question: What is a rational exponent and how do you simplify an expression that has one?Assessment: Students will demonstrate verbally in a class discussion.

Rational Exponents

Essential Question: What is a rational exponent and how do you simplify an expression that has one?

Assessment: Students will demonstrate verbally in a class discussion.

Page 3: Essential Question: What is a rational exponent and how do you simplify an expression that has one? Assessment: Students will demonstrate verbally in a

Essential Question: What is a rational exponent and how do you simplify an expression that has one?Assessment: Students will demonstrate verbally in a class discussion.

Key Terms

• Rational – Involving a _____________

Page 4: Essential Question: What is a rational exponent and how do you simplify an expression that has one? Assessment: Students will demonstrate verbally in a

Essential Question: What is a rational exponent and how do you simplify an expression that has one?Assessment: Students will demonstrate verbally in a class discussion.

Key Concept

Key Concept: A rational exponent indicates that the base number must be placed within a radical.

The numerator represents the true ________. Example:

The denominator represents the _______. 234

ξ234

Once the radical is created, _________. ξ84

Page 5: Essential Question: What is a rational exponent and how do you simplify an expression that has one? Assessment: Students will demonstrate verbally in a

Essential Question: What is a rational exponent and how do you simplify an expression that has one?Assessment: Students will demonstrate verbally in a class discussion.

Examples

• Rewrite the following examples in exponential form.

1) 2) 3) 4)

Page 6: Essential Question: What is a rational exponent and how do you simplify an expression that has one? Assessment: Students will demonstrate verbally in a

Essential Question: What is a rational exponent and how do you simplify an expression that has one?Assessment: Students will demonstrate verbally in a class discussion.

Examples • Rewrite each expression in radical form. Simplify if

possible.5) 6) 7)

Page 7: Essential Question: What is a rational exponent and how do you simplify an expression that has one? Assessment: Students will demonstrate verbally in a

Essential Question: What is a rational exponent and how do you simplify an expression that has one?Assessment: Students will demonstrate verbally in a class discussion.

Examples

8) 9) 10)

Page 8: Essential Question: What is a rational exponent and how do you simplify an expression that has one? Assessment: Students will demonstrate verbally in a

Essential Question: What is a rational exponent and how do you simplify an expression that has one?Assessment: Students will demonstrate verbally in a class discussion.

Essential Question

What is a rational exponent and how do you simplify an

expression that has one?

Page 9: Essential Question: What is a rational exponent and how do you simplify an expression that has one? Assessment: Students will demonstrate verbally in a

Essential Question: What is a rational exponent and how do you simplify an expression that has one?Assessment: Students will demonstrate verbally in a class discussion.

Examples

11) 12) 13)

Page 10: Essential Question: What is a rational exponent and how do you simplify an expression that has one? Assessment: Students will demonstrate verbally in a

Essential Question: What is a rational exponent and how do you simplify an expression that has one?Assessment: Students will demonstrate verbally in a class discussion.

Examples

14) 15) 16)

Page 11: Essential Question: What is a rational exponent and how do you simplify an expression that has one? Assessment: Students will demonstrate verbally in a

Essential Question: What is a rational exponent and how do you simplify an expression that has one?Assessment: Students will demonstrate verbally in a class discussion.

Examples

17) 18) 19)

Page 12: Essential Question: What is a rational exponent and how do you simplify an expression that has one? Assessment: Students will demonstrate verbally in a

Essential Question: What is a rational exponent and how do you simplify an expression that has one?Assessment: Students will demonstrate verbally in a class discussion.

Essential Question

What is a rational exponent and how do you simplify an

expression that has one?