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Properties of Rational Exponents Lesson 7.2 Goal: Use properties of radicals and rational exponents.

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Warm-up Simplify the expression: 1. 2. 3. 4. 5.

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Properties of Radicals Product and Quotient Properties of Radicals Product Property: Quotient Property: Examples - Use properties of radicals to simplify:

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Properties of Exponents - Revisited Properties of Rational Exponents Let a and b be positive real numbers. Let m and n be rational numbers.

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Use the properties of rational exponents to simplify: 1. 2. 3. 4.

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Add or Subtract Like Radicals Two radicals are like radicals if they have the same index and the same radicand. Simplify:

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Simplifying variable expressions: You can apply the properties of radicals to expressions involving variables. When the value of a variable is negative, you may need to use the absolute value to find the nth root. Simplify:

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Simplifying variable expressions: You can apply the properties of radicals to expressions involving variables. When the value of a variable is negative, you may need to use the absolute value to find the nth root. Simplify:

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Assignment pp. 362-363 21-72 (multiples of 3) 80-82

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