The volume of a beach ball can be approximated using the model where r is the radius of the ball in inches. Estimate the radius of the ball if the volume is 268 cubic inches.

List all Squares through 12 4 9 16 25 36 49 64 81 100 121 144 List Cubes through 5 1 8 27 64 125 Lists 4ths through 3 1 16 81 Lists 5ths through 2 1 32

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

Exponent Properties For all real numbers x, y

Properties of Radicals

Examples Product Property Quotient Property

Index ? Radicand ? The Index tells you how many friends you must have to come outside and play! For instance, how many friends do you need in the following to come out and play? 3 a b c2

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

Add and Subtract LIKE Radicals Two radical expressions with the same index and radicand are Like Radicals Write in simplest form

Add and Subtract Expressions Involving Variables Two radical expressions with the same index and radicand are Like Radicals

Simplify Expressions Involving Variables Remember to Rationalize if needed!! Use the Conjugate of the Denominator

Assignment pg 115 #1 – 17 odd #25 – 31 odd