Rational exponents

Page
1

Slide 1

How Do We Use Rational Exponents?

Do Now: Perform the indicated operation and simplify

Slide 2

2

nth Roots

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

Slide 3

3

Square Root of x2

Page 393

Slide 4

4

Radicals

Slide 5

5

Rational Exponents

Slide 6

6

Exponent 1/n When n Is Even

Slide 7

7

When n Is Even

Slide 8

8

Exponent 1/n When n Is Odd

Slide 9

9

Exponent 1/n When n Is Odd

Slide 10

10

nth Root of Zero

Slide 11

11

Rational Exponents

Slide 12

12

Evaluating in Either Order

Slide 13

13

Negative Rational Exponents

Slide 14

14

Evaluating a-m/n

Slide 15

15

Rules for Rational Exponents

7-6

Slide 16

16

Simplifying

Slide 17

17

Simplifying

Slide 18

18

Simplifying

Slide 19

19

Multiplying Radicals – Different Indices

Slide 20

20

Multiplying Radicals

Different Indices