Section 3 2 Simplifying Expressions with Rational Exponents

Section 3. 2: Simplifying Expressions with Rational Exponents and Radicals 1

Objective: By following instructions, students will be able to: 1. Write a radical expression as an expression with a rational exponent. 2

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Properties of Exponents Let a and b be real numbers and m and n be rational numbers. Product of Powers Property Quotient of Powers Property Power of a Product Property Power of a Quotient Property Power of a Power Property 5

explain 1 A Simplify each expression. Assume all variables are positive. 6

explain 1 B Simplify each expression. Assume all variables are positive. 7

Your-Turn #1 Simplify the expression. Assume all variables are positive. a) b) 8

explain 2 A Simplify each expression. Assume all variables are positive. 9

explain 2 B Simplify each expression. Assume all variables are positive. 10

Your-Turn #2 Simplify the expression. Assume all variables are positive. a) b) 11

explain 3 A The approximate number of Calories C that an animal needs each day is given by , where m is the animal’s mass in kilograms. Find the number of Calories that a 625 kg bear needs each day. 12

explain 3 B The approximate number of Calories C that an animal needs each day is given by , where m is the animal’s mass in kilograms. A particular panda consumes 1944 Calories each day. How much does this panda weigh? 13

Revisit Objective: Did we… 1. Write a radical expression as an expression with a rational exponent? 14

HW: Sec 3. 2 pg 82 #s 3 -23 ODD, LPT 15