Accelerated Algebra I

Day 45

1.) Simplify:

2.) Simplify:

€

2x 3y 2( )

3

4x 2y

€

3x 2

4x 4

⎛

⎝ ⎜

⎞

⎠ ⎟

−2

What does rational mean?

What does it mean to have a “rational” exponent?

Radicals? What is a radical?

What is a radical?It is the square root sign.Can be more than a “square” root.

= Exponents that are fractions Example: The index is

2.

Example:

€

x1

2 = x

€

x2

3 = ( x3 )2

The denominator becomes the index.

The numerator becomes the exponent.

€

x2

3 = ( x3 )2

The denominator becomes the index.The numerator becomes the

exponent.

You can pull the denominator inside

€

82

3 = ( 83 )2

€

82

3 = (81

3 )2 = 22

Write in radical form: A.)

B.)

C.) €

481

2 =

€

(2x)1

4 =

€

(3x)3

4 =

Write in exponential form: A.)

B.)

C.) €

18b =

€

x5 =

€

r4( )

7

=

Simplify – two ways: A.) change to exponential:

B.) enter index in using MATH button:

€

3433 =

€

3433 =

Multiply power to a power A.)

€

v 9( )

5

3 =

1st columns of worksheets 1 and 2

Homework: worksheet #3