Rational Exponents
-
Upload
christen-conley -
Category
Documents
-
view
40 -
download
0
description
Transcript of Rational Exponents
![Page 1: Rational Exponents](https://reader030.fdocuments.net/reader030/viewer/2022032313/56812c90550346895d913e09/html5/thumbnails/1.jpg)
Accelerated Algebra I
Day 45
![Page 2: Rational Exponents](https://reader030.fdocuments.net/reader030/viewer/2022032313/56812c90550346895d913e09/html5/thumbnails/2.jpg)
1.) Simplify:
2.) Simplify:
€
2x 3y 2( )
3
4x 2y
€
3x 2
4x 4
⎛
⎝ ⎜
⎞
⎠ ⎟
−2
![Page 3: Rational Exponents](https://reader030.fdocuments.net/reader030/viewer/2022032313/56812c90550346895d913e09/html5/thumbnails/3.jpg)
What does rational mean?
What does it mean to have a “rational” exponent?
![Page 4: Rational Exponents](https://reader030.fdocuments.net/reader030/viewer/2022032313/56812c90550346895d913e09/html5/thumbnails/4.jpg)
Radicals? What is a radical?
![Page 5: Rational Exponents](https://reader030.fdocuments.net/reader030/viewer/2022032313/56812c90550346895d913e09/html5/thumbnails/5.jpg)
What is a radical?It is the square root sign.Can be more than a “square” root.
![Page 6: Rational Exponents](https://reader030.fdocuments.net/reader030/viewer/2022032313/56812c90550346895d913e09/html5/thumbnails/6.jpg)
= Exponents that are fractions Example: The index is
2.
Example:
€
x1
2 = x
€
x2
3 = ( x3 )2
![Page 7: Rational Exponents](https://reader030.fdocuments.net/reader030/viewer/2022032313/56812c90550346895d913e09/html5/thumbnails/7.jpg)
The denominator becomes the index.
The numerator becomes the exponent.
€
x2
3 = ( x3 )2
![Page 8: Rational Exponents](https://reader030.fdocuments.net/reader030/viewer/2022032313/56812c90550346895d913e09/html5/thumbnails/8.jpg)
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
![Page 9: Rational Exponents](https://reader030.fdocuments.net/reader030/viewer/2022032313/56812c90550346895d913e09/html5/thumbnails/9.jpg)
Write in radical form: A.)
B.)
C.) €
481
2 =
€
(2x)1
4 =
€
(3x)3
4 =
![Page 10: Rational Exponents](https://reader030.fdocuments.net/reader030/viewer/2022032313/56812c90550346895d913e09/html5/thumbnails/10.jpg)
Write in exponential form: A.)
B.)
C.) €
18b =
€
x5 =
€
r4( )
7
=
![Page 11: Rational Exponents](https://reader030.fdocuments.net/reader030/viewer/2022032313/56812c90550346895d913e09/html5/thumbnails/11.jpg)
Simplify – two ways: A.) change to exponential:
B.) enter index in using MATH button:
€
3433 =
€
3433 =
![Page 12: Rational Exponents](https://reader030.fdocuments.net/reader030/viewer/2022032313/56812c90550346895d913e09/html5/thumbnails/12.jpg)
Multiply power to a power A.)
€
v 9( )
5
3 =
![Page 13: Rational Exponents](https://reader030.fdocuments.net/reader030/viewer/2022032313/56812c90550346895d913e09/html5/thumbnails/13.jpg)
1st columns of worksheets 1 and 2
Homework: worksheet #3