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

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Presentation transcript:

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

Warm-up Simplify the expression:

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

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

Use the properties of rational exponents to simplify:

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

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:

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:

Assignment pp (multiples of 3) 80-82