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Learn to interpret, rewrite, and evaluate rational exponents using properties of exponents and roots. Practice simplifying and evaluating expressions. Discover patterns and generalize rules for rewriting rational exponents. Explore the relationship between powers and roots.
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Defining, Rewriting, and Evaluating Rational Exponents (1.1.1) • September 8th, 2015
Ex.1: EVALUATE AND EXPLAIN HOW YOU ARRIVED AT YOUR ANSWER. NOW CONSIDER HOW TO ARRIVE AT THE SAME ANSWER BY INTERPRETING AS
Ex.2: REWRITE USING PROPERTIES OF EXPONENTS AND ROOTS, THEN EVALUATE.
EX.3: USE THE PATTERN YOU’VE DISCOVERED TO REWRITE EACH OF THE FOLLOWING RATIONAL EXPONENTS IN TERMS OF POWERS AND ROOTS CAN YOU WRITE A GENERAL RULE FOR HOW TO REWRITE A RATIONAL EXPONENT IN TERMS OF POWERS AND ROOTS? WHAT IS THE RELATIONSHIP BETWEEN A POWER AND A ROOT?
EX.4: Evaluate by first simplifying. Extra Practice
EX.5: EVALUATE EACH OF THE FOLLOWING. USE A CALCULATOR ONLY WHEN NECESSARY.