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RADICALS AND RATIONAL EXPONENTS Exit Ticket REDO! Warm Up What happens when there’s a FRACTION in the EXPONENT? = = = = = = Rewrite with a fractional exponent. Rewrite with a fractional exponent.

10.30.14 Radicals and Rational Exponents · Microsoft Word - 10.30.14 Radicals and Rational Exponents.docx Created Date: 10/30/2014 4:01:57 PM

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Page 1: 10.30.14 Radicals and Rational Exponents · Microsoft Word - 10.30.14 Radicals and Rational Exponents.docx Created Date: 10/30/2014 4:01:57 PM

RADICALS AND RATIONAL EXPONENTS Exit Ticket REDO!

Warm Up

What happens when there’s a FRACTION in the EXPONENT?

𝟗𝟏𝟐= 𝟒𝟗

𝟏𝟐=

𝟖𝟏

𝟏𝟐=

𝟖𝟏𝟑= 𝟏𝟐𝟓

𝟏𝟑= 𝟔𝟒

𝟐𝟑=

Rewrite 𝒙 with a fractional exponent. Rewrite 𝒂𝟑 with a fractional exponent.

Page 2: 10.30.14 Radicals and Rational Exponents · Microsoft Word - 10.30.14 Radicals and Rational Exponents.docx Created Date: 10/30/2014 4:01:57 PM

Radical Form vs. Exponent Form

Radical Form

x!!

Exponent Form

x!!

‘a’ represents the ______________.

‘b’ represents the ______________.

Always remember, _______________ over _______________.

• If in exponent form, re-write in radical form. • If in radical form, re-write in exponent form.

1. x!!

2. 𝑓!! 3. w!

4. (5r)

!!

5. (3v)!!"

6. (2𝑐)!!

7. 6

8. 𝑥!𝑦!

Practice Match each radical and exponent form. Color code it in Notability! A

5!!    

B

( 𝑝! )!    

C

𝑝!!    

D

( 5)!    

E

𝑝!!    

F

5!    

G

𝑝!!    

H

(5𝑝)!!    

I

( 5𝑝! )!    

J

(5𝑝)!    

 

1

𝑝!!  

 

2

5!!  

 

3

(5𝑝)!!  

 

4

𝑝!!  

 

5

𝑝!!  

 6

5!!  

 

7

5!!  

 

8

(5𝑝)!!  

 

9

(5𝑝)!!  

 

10

𝑝!!  

Page 3: 10.30.14 Radicals and Rational Exponents · Microsoft Word - 10.30.14 Radicals and Rational Exponents.docx Created Date: 10/30/2014 4:01:57 PM

Applying Exponent Rules

1. 𝑥!!𝑥

!!

2. (81𝑐!)!! 3. 4x(5𝑥

!!)!

4. (!

!!!

!!)!!

DOMINOES Insert picture here:

HW

13.    

14.  

Page 4: 10.30.14 Radicals and Rational Exponents · Microsoft Word - 10.30.14 Radicals and Rational Exponents.docx Created Date: 10/30/2014 4:01:57 PM