3.2 Apply Properties of Rational Exponents

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Presentation transcript:

3.2 Apply Properties of Rational Exponents

Ex: Evaluate the power (-2)6 = (-2)*(-2)*(-2)*(-2)*(-2)*(-2) = 64 2. -26 = -(2*2*2*2*2*2) = -64

For all real numbers n, m, x, y Exponent Properties For all real numbers n, m, x, y

Laws of Exponents

Any single number or variable is always to the first power We already know !!!!! Any single number or variable is always to the first power

Basic Examples

Basic Examples

Use Properties of Exponents

Two radical expressions with the same index and radicand are Like Radicals Product Property Quotient Property

Write radicals in simplest form NO TENTS IN THE BASEMENT, RATIONALIZE DENOMINATOR

Add and Subtract LIKE Radicals and Roots Write in simplest form

Simplify Expressions Involving Variables Use the Conjugate of the Denominator

Add and Subtract Expressions Involving Variables

Assignment pg 115 1 – 33 odd pg 116 1 – 17 odd