SlideShare a Scribd company logo
 nth roots can be written using
rational exponents.
 For example:
 In general, for any
integer n greater than 1.
 Not always of the form 1/n.


 The denominator of the exponent is
the index of the radical!
“The bottom goes in the crack!”
 Write in radical form:
 Write in exponential form:
 Rewrite in radical form first.
 Evaluate the radical.
 Raise to the power.
 Example:
 93/2
 Evaluate.
 32-2/5
 642/3
 Evaluate:
 493/2
 16-3/4
 Rewrite in radical form first.
 Simplify the radical part.
 Raise everything to the power.
 Example:
 (36x4)3/2
 Evaluate.
 (a8)-3/4
 (216b9)5/3
 Evaluate:
 (9x4)-5/2
 (16y4)3/4

More Related Content

Viewers also liked

Pre geometry
Pre geometryPre geometry
Pre geometrymstf mstf
 
Inequalities ppt revised
Inequalities ppt revisedInequalities ppt revised
Inequalities ppt revisedtroxellm
 
Triangles
TrianglesTriangles
Triangles
Eisa Adil
 
Solving Inequalities Lesson
Solving Inequalities LessonSolving Inequalities Lesson
Solving Inequalities LessonSpainhour
 
4. solving inequalities
4. solving inequalities4. solving inequalities
4. solving inequalitiesMedhaKetkar
 
5.7 Quadratic Inequalities
5.7 Quadratic Inequalities5.7 Quadratic Inequalities
5.7 Quadratic Inequalitieshisema01
 
1.2.3 Basic Constructions
1.2.3 Basic Constructions1.2.3 Basic Constructions
1.2.3 Basic Constructions
smiller5
 
The angles family
The angles familyThe angles family
The angles familyfknights
 
Lines and angles
Lines and anglesLines and angles
Lines and angles
Soumya Sankar Modak
 
Chapter 3. linear equation and linear equalities in one variables
Chapter 3. linear equation and linear equalities in one variablesChapter 3. linear equation and linear equalities in one variables
Chapter 3. linear equation and linear equalities in one variablesmonomath
 
Solution of linear equation & inequality
Solution of linear equation & inequalitySolution of linear equation & inequality
Solution of linear equation & inequalityflorian Manzanilla
 
Triangle and its properties
Triangle and its propertiesTriangle and its properties
Triangle and its propertiesAzam Khan
 
Linear Equations and Inequalities in One Variable
Linear Equations and Inequalities in One VariableLinear Equations and Inequalities in One Variable
Linear Equations and Inequalities in One Variablemisey_margarette
 
Angles: Naming, Types, and How to Measure Them
Angles: Naming, Types, and How to Measure ThemAngles: Naming, Types, and How to Measure Them
Angles: Naming, Types, and How to Measure Themjbouchard24
 
Polygons presentation
Polygons presentationPolygons presentation
Polygons presentationJessica
 
Polygons
PolygonsPolygons
Polygons
skellyreyes
 

Viewers also liked (18)

Pre geometry
Pre geometryPre geometry
Pre geometry
 
Inequalities ppt revised
Inequalities ppt revisedInequalities ppt revised
Inequalities ppt revised
 
Triangles
TrianglesTriangles
Triangles
 
Solving Inequalities Lesson
Solving Inequalities LessonSolving Inequalities Lesson
Solving Inequalities Lesson
 
4. solving inequalities
4. solving inequalities4. solving inequalities
4. solving inequalities
 
5.7 Quadratic Inequalities
5.7 Quadratic Inequalities5.7 Quadratic Inequalities
5.7 Quadratic Inequalities
 
Analytic geometry basic concepts
Analytic geometry basic conceptsAnalytic geometry basic concepts
Analytic geometry basic concepts
 
1.2.3 Basic Constructions
1.2.3 Basic Constructions1.2.3 Basic Constructions
1.2.3 Basic Constructions
 
The angles family
The angles familyThe angles family
The angles family
 
Lines and angles
Lines and anglesLines and angles
Lines and angles
 
Chapter 3. linear equation and linear equalities in one variables
Chapter 3. linear equation and linear equalities in one variablesChapter 3. linear equation and linear equalities in one variables
Chapter 3. linear equation and linear equalities in one variables
 
Angles ppt
Angles pptAngles ppt
Angles ppt
 
Solution of linear equation & inequality
Solution of linear equation & inequalitySolution of linear equation & inequality
Solution of linear equation & inequality
 
Triangle and its properties
Triangle and its propertiesTriangle and its properties
Triangle and its properties
 
Linear Equations and Inequalities in One Variable
Linear Equations and Inequalities in One VariableLinear Equations and Inequalities in One Variable
Linear Equations and Inequalities in One Variable
 
Angles: Naming, Types, and How to Measure Them
Angles: Naming, Types, and How to Measure ThemAngles: Naming, Types, and How to Measure Them
Angles: Naming, Types, and How to Measure Them
 
Polygons presentation
Polygons presentationPolygons presentation
Polygons presentation
 
Polygons
PolygonsPolygons
Polygons
 

More from hisema01

6.6 quadratic formula
6.6 quadratic formula6.6 quadratic formula
6.6 quadratic formula
hisema01
 
6 7 new look at conics
6 7 new look at conics6 7 new look at conics
6 7 new look at conics
hisema01
 
6 6 systems of second degree equations
6 6 systems of second degree equations6 6 systems of second degree equations
6 6 systems of second degree equations
hisema01
 
4.4 multi step trig problems
4.4 multi step trig problems4.4 multi step trig problems
4.4 multi step trig problems
hisema01
 
6 5 parabolas
6 5 parabolas6 5 parabolas
6 5 parabolas
hisema01
 
4.3 finding missing angles
4.3 finding missing angles4.3 finding missing angles
4.3 finding missing angles
hisema01
 
4.2 solving for missing sides
4.2 solving for missing sides4.2 solving for missing sides
4.2 solving for missing sides
hisema01
 
4.1 trig ratios
4.1 trig ratios4.1 trig ratios
4.1 trig ratios
hisema01
 
R.4 solving literal equations
R.4 solving literal equationsR.4 solving literal equations
R.4 solving literal equations
hisema01
 
R.3 solving 1 var inequalities
R.3 solving 1 var inequalitiesR.3 solving 1 var inequalities
R.3 solving 1 var inequalities
hisema01
 
R.2 solving multi step equations
R.2 solving multi step equationsR.2 solving multi step equations
R.2 solving multi step equations
hisema01
 
R.1 simplifying expressions
R.1 simplifying expressionsR.1 simplifying expressions
R.1 simplifying expressions
hisema01
 
10 4 solving trig equations
10 4 solving trig equations10 4 solving trig equations
10 4 solving trig equationshisema01
 
7 2 adding and subtracting polynomials
7 2 adding and subtracting polynomials7 2 adding and subtracting polynomials
7 2 adding and subtracting polynomialshisema01
 
7 3 multiplying polynomials
7 3 multiplying polynomials7 3 multiplying polynomials
7 3 multiplying polynomialshisema01
 
7.2 simplifying radicals
7.2 simplifying radicals7.2 simplifying radicals
7.2 simplifying radicalshisema01
 
10 3 double and half-angle formulas
10 3 double and half-angle formulas10 3 double and half-angle formulas
10 3 double and half-angle formulashisema01
 
6.7 other methods for solving
6.7 other methods for solving6.7 other methods for solving
6.7 other methods for solvinghisema01
 
10 2 sum and diff formulas for tangent
10 2 sum and diff formulas for tangent10 2 sum and diff formulas for tangent
10 2 sum and diff formulas for tangenthisema01
 
6.7 other methods for solving
6.7 other methods for solving6.7 other methods for solving
6.7 other methods for solvinghisema01
 

More from hisema01 (20)

6.6 quadratic formula
6.6 quadratic formula6.6 quadratic formula
6.6 quadratic formula
 
6 7 new look at conics
6 7 new look at conics6 7 new look at conics
6 7 new look at conics
 
6 6 systems of second degree equations
6 6 systems of second degree equations6 6 systems of second degree equations
6 6 systems of second degree equations
 
4.4 multi step trig problems
4.4 multi step trig problems4.4 multi step trig problems
4.4 multi step trig problems
 
6 5 parabolas
6 5 parabolas6 5 parabolas
6 5 parabolas
 
4.3 finding missing angles
4.3 finding missing angles4.3 finding missing angles
4.3 finding missing angles
 
4.2 solving for missing sides
4.2 solving for missing sides4.2 solving for missing sides
4.2 solving for missing sides
 
4.1 trig ratios
4.1 trig ratios4.1 trig ratios
4.1 trig ratios
 
R.4 solving literal equations
R.4 solving literal equationsR.4 solving literal equations
R.4 solving literal equations
 
R.3 solving 1 var inequalities
R.3 solving 1 var inequalitiesR.3 solving 1 var inequalities
R.3 solving 1 var inequalities
 
R.2 solving multi step equations
R.2 solving multi step equationsR.2 solving multi step equations
R.2 solving multi step equations
 
R.1 simplifying expressions
R.1 simplifying expressionsR.1 simplifying expressions
R.1 simplifying expressions
 
10 4 solving trig equations
10 4 solving trig equations10 4 solving trig equations
10 4 solving trig equations
 
7 2 adding and subtracting polynomials
7 2 adding and subtracting polynomials7 2 adding and subtracting polynomials
7 2 adding and subtracting polynomials
 
7 3 multiplying polynomials
7 3 multiplying polynomials7 3 multiplying polynomials
7 3 multiplying polynomials
 
7.2 simplifying radicals
7.2 simplifying radicals7.2 simplifying radicals
7.2 simplifying radicals
 
10 3 double and half-angle formulas
10 3 double and half-angle formulas10 3 double and half-angle formulas
10 3 double and half-angle formulas
 
6.7 other methods for solving
6.7 other methods for solving6.7 other methods for solving
6.7 other methods for solving
 
10 2 sum and diff formulas for tangent
10 2 sum and diff formulas for tangent10 2 sum and diff formulas for tangent
10 2 sum and diff formulas for tangent
 
6.7 other methods for solving
6.7 other methods for solving6.7 other methods for solving
6.7 other methods for solving
 

Recently uploaded

The geography of Taylor Swift - some ideas
The geography of Taylor Swift - some ideasThe geography of Taylor Swift - some ideas
The geography of Taylor Swift - some ideas
GeoBlogs
 
Adversarial Attention Modeling for Multi-dimensional Emotion Regression.pdf
Adversarial Attention Modeling for Multi-dimensional Emotion Regression.pdfAdversarial Attention Modeling for Multi-dimensional Emotion Regression.pdf
Adversarial Attention Modeling for Multi-dimensional Emotion Regression.pdf
Po-Chuan Chen
 
Digital Tools and AI for Teaching Learning and Research
Digital Tools and AI for Teaching Learning and ResearchDigital Tools and AI for Teaching Learning and Research
Digital Tools and AI for Teaching Learning and Research
Vikramjit Singh
 
Synthetic Fiber Construction in lab .pptx
Synthetic Fiber Construction in lab .pptxSynthetic Fiber Construction in lab .pptx
Synthetic Fiber Construction in lab .pptx
Pavel ( NSTU)
 
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCECLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
BhavyaRajput3
 
Guidance_and_Counselling.pdf B.Ed. 4th Semester
Guidance_and_Counselling.pdf B.Ed. 4th SemesterGuidance_and_Counselling.pdf B.Ed. 4th Semester
Guidance_and_Counselling.pdf B.Ed. 4th Semester
Atul Kumar Singh
 
Acetabularia Information For Class 9 .docx
Acetabularia Information For Class 9  .docxAcetabularia Information For Class 9  .docx
Acetabularia Information For Class 9 .docx
vaibhavrinwa19
 
Operation Blue Star - Saka Neela Tara
Operation Blue Star   -  Saka Neela TaraOperation Blue Star   -  Saka Neela Tara
Operation Blue Star - Saka Neela Tara
Balvir Singh
 
The Challenger.pdf DNHS Official Publication
The Challenger.pdf DNHS Official PublicationThe Challenger.pdf DNHS Official Publication
The Challenger.pdf DNHS Official Publication
Delapenabediema
 
Phrasal Verbs.XXXXXXXXXXXXXXXXXXXXXXXXXX
Phrasal Verbs.XXXXXXXXXXXXXXXXXXXXXXXXXXPhrasal Verbs.XXXXXXXXXXXXXXXXXXXXXXXXXX
Phrasal Verbs.XXXXXXXXXXXXXXXXXXXXXXXXXX
MIRIAMSALINAS13
 
Supporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptxSupporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptx
Jisc
 
The approach at University of Liverpool.pptx
The approach at University of Liverpool.pptxThe approach at University of Liverpool.pptx
The approach at University of Liverpool.pptx
Jisc
 
678020731-Sumas-y-Restas-Para-Colorear.pdf
678020731-Sumas-y-Restas-Para-Colorear.pdf678020731-Sumas-y-Restas-Para-Colorear.pdf
678020731-Sumas-y-Restas-Para-Colorear.pdf
CarlosHernanMontoyab2
 
Introduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp NetworkIntroduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp Network
TechSoup
 
Biological Screening of Herbal Drugs in detailed.
Biological Screening of Herbal Drugs in detailed.Biological Screening of Herbal Drugs in detailed.
Biological Screening of Herbal Drugs in detailed.
Ashokrao Mane college of Pharmacy Peth-Vadgaon
 
Sha'Carri Richardson Presentation 202345
Sha'Carri Richardson Presentation 202345Sha'Carri Richardson Presentation 202345
Sha'Carri Richardson Presentation 202345
beazzy04
 
Overview on Edible Vaccine: Pros & Cons with Mechanism
Overview on Edible Vaccine: Pros & Cons with MechanismOverview on Edible Vaccine: Pros & Cons with Mechanism
Overview on Edible Vaccine: Pros & Cons with Mechanism
DeeptiGupta154
 
The Roman Empire A Historical Colossus.pdf
The Roman Empire A Historical Colossus.pdfThe Roman Empire A Historical Colossus.pdf
The Roman Empire A Historical Colossus.pdf
kaushalkr1407
 
TESDA TM1 REVIEWER FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
TESDA TM1 REVIEWER  FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...TESDA TM1 REVIEWER  FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
TESDA TM1 REVIEWER FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
EugeneSaldivar
 
The Accursed House by Émile Gaboriau.pptx
The Accursed House by Émile Gaboriau.pptxThe Accursed House by Émile Gaboriau.pptx
The Accursed House by Émile Gaboriau.pptx
DhatriParmar
 

Recently uploaded (20)

The geography of Taylor Swift - some ideas
The geography of Taylor Swift - some ideasThe geography of Taylor Swift - some ideas
The geography of Taylor Swift - some ideas
 
Adversarial Attention Modeling for Multi-dimensional Emotion Regression.pdf
Adversarial Attention Modeling for Multi-dimensional Emotion Regression.pdfAdversarial Attention Modeling for Multi-dimensional Emotion Regression.pdf
Adversarial Attention Modeling for Multi-dimensional Emotion Regression.pdf
 
Digital Tools and AI for Teaching Learning and Research
Digital Tools and AI for Teaching Learning and ResearchDigital Tools and AI for Teaching Learning and Research
Digital Tools and AI for Teaching Learning and Research
 
Synthetic Fiber Construction in lab .pptx
Synthetic Fiber Construction in lab .pptxSynthetic Fiber Construction in lab .pptx
Synthetic Fiber Construction in lab .pptx
 
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCECLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
 
Guidance_and_Counselling.pdf B.Ed. 4th Semester
Guidance_and_Counselling.pdf B.Ed. 4th SemesterGuidance_and_Counselling.pdf B.Ed. 4th Semester
Guidance_and_Counselling.pdf B.Ed. 4th Semester
 
Acetabularia Information For Class 9 .docx
Acetabularia Information For Class 9  .docxAcetabularia Information For Class 9  .docx
Acetabularia Information For Class 9 .docx
 
Operation Blue Star - Saka Neela Tara
Operation Blue Star   -  Saka Neela TaraOperation Blue Star   -  Saka Neela Tara
Operation Blue Star - Saka Neela Tara
 
The Challenger.pdf DNHS Official Publication
The Challenger.pdf DNHS Official PublicationThe Challenger.pdf DNHS Official Publication
The Challenger.pdf DNHS Official Publication
 
Phrasal Verbs.XXXXXXXXXXXXXXXXXXXXXXXXXX
Phrasal Verbs.XXXXXXXXXXXXXXXXXXXXXXXXXXPhrasal Verbs.XXXXXXXXXXXXXXXXXXXXXXXXXX
Phrasal Verbs.XXXXXXXXXXXXXXXXXXXXXXXXXX
 
Supporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptxSupporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptx
 
The approach at University of Liverpool.pptx
The approach at University of Liverpool.pptxThe approach at University of Liverpool.pptx
The approach at University of Liverpool.pptx
 
678020731-Sumas-y-Restas-Para-Colorear.pdf
678020731-Sumas-y-Restas-Para-Colorear.pdf678020731-Sumas-y-Restas-Para-Colorear.pdf
678020731-Sumas-y-Restas-Para-Colorear.pdf
 
Introduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp NetworkIntroduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp Network
 
Biological Screening of Herbal Drugs in detailed.
Biological Screening of Herbal Drugs in detailed.Biological Screening of Herbal Drugs in detailed.
Biological Screening of Herbal Drugs in detailed.
 
Sha'Carri Richardson Presentation 202345
Sha'Carri Richardson Presentation 202345Sha'Carri Richardson Presentation 202345
Sha'Carri Richardson Presentation 202345
 
Overview on Edible Vaccine: Pros & Cons with Mechanism
Overview on Edible Vaccine: Pros & Cons with MechanismOverview on Edible Vaccine: Pros & Cons with Mechanism
Overview on Edible Vaccine: Pros & Cons with Mechanism
 
The Roman Empire A Historical Colossus.pdf
The Roman Empire A Historical Colossus.pdfThe Roman Empire A Historical Colossus.pdf
The Roman Empire A Historical Colossus.pdf
 
TESDA TM1 REVIEWER FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
TESDA TM1 REVIEWER  FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...TESDA TM1 REVIEWER  FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
TESDA TM1 REVIEWER FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
 
The Accursed House by Émile Gaboriau.pptx
The Accursed House by Émile Gaboriau.pptxThe Accursed House by Émile Gaboriau.pptx
The Accursed House by Émile Gaboriau.pptx
 

7.3 rational exponents