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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.

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Presentation on theme: "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."— Presentation transcript:

1 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.

2 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 3.2 Apply Properties of Rational Exponents

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

5 Exponent Properties For all real numbers x, y

6 Properties of Radicals

7 Examples Product Property Quotient Property

8 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

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

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

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

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

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


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