1 How Do We Use Rational Exponents? Do Now: Perform the indicated operation and simplify 1. 2.

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Presentation transcript:

1 How Do We Use Rational Exponents? Do Now: Perform the indicated operation and simplify 1. 2.

2 nth Roots An nth root of number a is a number whose nth power is a. a number whose nth power is a If the index n is even, then the radicand a must be nonnegative. is not a real number

3 Square Root of x 2 Page 393

4 Radicals

5 Rational Exponents

6 Exponent 1/n When n Is Even

7 When n Is Even

8 Exponent 1/n When n Is Odd

9

10 nth Root of Zero

11 Rational Exponents

12 Evaluating in Either Order

13 Negative Rational Exponents

14 Evaluating a -m/n

15 Rules for Rational Exponents 7-6

16 Simplifying

17 Simplifying

18 Simplifying

19 Multiplying Radicals – Different Indices

20 Multiplying Radicals Different Indices

21 Different Indices

22 Different Indices

23 Different Indices

24 Rational Exponents Eliminate the root, then the power

25 Eliminate the Root, Then the Power

26 Negative Exponents

27 Negative Exponents Eliminate the root, then the power

28 Negative Exponents Eliminate the root, then the power

29 No Solution Eliminate the root, then the power

30 No Solution Eliminate the root, then the power

31 Strategy for Solving Equations with Exponents and Radicals

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