Warm upSimplify: Rewrite and Simplify:a) b)6 34 32x y

23 3(9 )x

Homework Review

Skills Check

Operations with Rational Exponents

and RadicalsCCGPS Geometry

Radical expressions with the same index can be added subtracted, multiplied, or divided.• You can multiply or divide if the indices are not the same, but it is quite difficult.

• To add or subtract, you must have like radicals.

Examples:

Operations with Radicals

20 53 324 81x x

3 24 44 12x x3 340 5

• 1)

• 2)

• BONUS:

Your turn!

50 8

3 32 44 6x x

2( 12 3)

• When the problem is written with rational exponents or radicals that don’t have the same indices, you will need to know the exponent rules below to simplify the problem.

Operations with Rational Exponents

Example #1

1 74 49 9

Example #213

23

27

27

Example #3

13 3 443( )x y x

Example #4

64

3

x xx

1.

2.

3.

Your turn!3 118 82x x x 23

53

8

81

6 8 632( )x y y

Extra: Rewriting Using Positive Exponents

25 12 85 243x y z 1 25 12 85 5 5 5243 x y z

12

5 5

85

3x y

z

Extra: Rewriting Without a Square Root

2 3(4 )p 664p

38p

Extra: Rewriting Without a Square Root

63

764x

Which expression is equivalent to ?

a)

b)

c)

d)

274x1874x2764x1864x

• Practice Worksheet

Classwork / Homework