fbpx
Skip to content Skip to main menu
Problem Solved Math
Menu
  • Home
  • About
    • About PSM
    • FAQs
  • Courses
    • 6th Grade Math
      • Course Overview
      • How to Maximize Your Learning Experience!
      • Chapter 1: Whole Numbers & Decimals
      • Chapter 2: Representing Data In Different Ways
      • Chapter 3: Variables, Algebraic Expressions, & Solving Equations
      • Chapter 4: Divisibility, Factoring Numbers, & Fractions
      • Chapter 5: Addition and Subtraction of Fractions
      • Chapter 6: Multiplication and Division of Fractions
      • Chapter 7: Ratios, Proportions, and Percents
      • Chapter 8: Fundamentals of Geometry
      • Chapter 9: Unit Conversions, Perimeter, Area, & Volume
      • Chapter 10: Introduction to Probability
      • Chapter 11: Integers – Properties, Operations, & Equations
      • Chapter 12: Two-Step Equations and Inequalities
    • Pre-Algebra
      • Course Overview
      • How to Maximize Your Learning Experience!
      • Chapter 1: Algebraic Expressions & Operations with Integers
      • Chapter 2: One-Step Equations & Inequalities
      • Chapter 3: Operations and Equations With Decimals
      • Chapter 4: Factors, Simplifying Fractions, and Exponent Rules
      • Chapter 5: Fraction Operations & Solving Equations with Fractions
      • Chapter 6: Operations and Uses of Ratios, Proportions, & Percents
      • Chapter 7: Solving Equations and Inequalities
      • Chapter 8: Relations & Functions, Slope, Lines, and Graphing
      • Chapter 9: Foundations of Geometry
      • Chapter 10: Areas of Two- & Three-Dimensional Figures and Volume
      • Chapter 11: Right Triangles and An Introduction to Trigonometry
      • Chapter 12: Data Analysis: Techniques and Calculations
      • Chapter 13: Probability, Combinations, and Permutations
      • Chapter 14: Foundations of Non-Linear Functions and Polynomial Operations
    • Algebra 1
      • Course Overview
      • How to Maximize Your Learning Experience!
      • Chapter 1: Algebraic Expressions and Operations with Real Numbers
      • Chapter 2: Solving Equations – From One-Step to Multi-Step
      • Chapter 3: Ratios, Proportions, & Percents
      • Chapter 4: Solving Inequalities
      • Chapter 5: Introduction to Graphs and Functions
      • Chapter 6: Linear Functions and Graphing Lines
      • Chapter 7: Systems of Linear Equations and Linear Inequalities
      • Chapter 8: Exponent Rules & Exponential Functions
      • Chapter 9: Polynomials
      • Chapter 10: Graphing and Solving Quadratic Equations
      • Chapter 11: Introduction to Rational Expressions
      • Chapter 12: Radicals and An Introduction to Trigonometry
      • Chapter 13: Data Analysis: Techniques and Calculations
      • Chapter 14: Probability, Combinations, and Permutations
    • Calculus 1 & 2 / AB / BC
      • Course Overview
      • How to Maximize Your Learning Experience!
      • Chapter 1 – Limits
      • Chapter 2 – Derivatives
      • Chapter 3 – Uses of the Derivative
      • Chapter 4 – Integration
      • Chapter 5 – Derivatives and Integrals of Exponential Functions, Logarithms, and Inverse Trigonometry
      • Chapter 6 – Differential Equations and Exponential & Logistic Growth
      • Chapter 7 – Area, Volume, and Arc Length
      • Chapter 8 – Advanced Integration Techniques and Improper Integrals
      • Chapter 9 – Series and Tests for Convergence and Divergence
      • Chapter 10 – Taylor Polynomials and Power Series
      • Chapter 11 – The Calculus of Parametric and Polar Equations
  • Free Videos!
  • Pricing
  • Contact
  • Log In
Home › Courses › Algebra 1 › Archive for Chapter 8: Exponent Rules & Exponential Functions
» Ask a Question
  • This field is for validation purposes and should be left unchanged.

Chapter 8: Exponent Rules & Exponential Functions

This chapter takes you on a math excursion through all the rules of exponents and provides an introduction into exponential functions. You will begin with the rules for multiplying powers with the same bases and raising a power to a power. From there, you will master how to divide powers with the same bases. Then it is off to zero and negative exponents before rocking multiple practice exercises involving several rules in each problem – awesome practice found there! You will master simplifying operations involving scientific notation. The chapter finishes with a flurry of learning about exponential growth and decay, graphing exponential functions, calculating compound interest, and last, but not least, geometric sequences. Yeah…it is a pretty sweet chapter!!! Now go get math-ing!!!

Not a member yet?  Click here to check out a bunch of free videos to see what makes our approach extraordinary!

Lesson 1 – Fundamentals of Powers & Multiplying Powers with the Same Base

Posted on July 31, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 8: Exponent Rules & Exponential Functions

Lesson 2 – Raising a Power to a Power

Posted on July 31, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 8: Exponent Rules & Exponential Functions

Lesson 3 – Dividing Powers

Posted on July 31, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 8: Exponent Rules & Exponential Functions

Lesson 4 – Zero and Negative Exponents

Posted on July 31, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 8: Exponent Rules & Exponential Functions

Lesson 5 – Exponent Exercises Using Several Rules

Posted on July 31, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 8: Exponent Rules & Exponential Functions

Lesson 6 – Scientific Notation with Exponent Rules

Posted on August 1, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 8: Exponent Rules & Exponential Functions

Lesson 7 – Introduction to Exponential Functions

Posted on August 1, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 8: Exponent Rules & Exponential Functions

Lesson 8 – Exponential Growth and Decay

Posted on August 1, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 8: Exponent Rules & Exponential Functions

Lesson 9 – Geometric Sequences

Posted on August 1, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 8: Exponent Rules & Exponential Functions
  • 5 star review  We found Mr. Groden on a community Facebook page and it was a wonderful experience for my son. He is extremely patient and very knowledgeable. I would highly recommend him to any student looking for help.

    Lisa Rogers Avatar Lisa Rogers
    August 26, 2017

    5 star review  If you are looking for an enthusiastic teacher who makes understanding math easy then look no further. Matt came to our rescue when my daughter was struggling in AP Calculus BC. Not only was he able to boost her grade to an A, she also scored a 5 on her AP exam for both Calculus AB and BC. Also, My son went to his SAT class over the summer and after every class he said how much he enjoyed Matt and was excited about what he learned. I will continue to give Matt the highest recommendation which is rare for me since I am a math teacher myself. He is excellent!

    Mrssteph Rothenberg Avatar Mrssteph Rothenberg
    August 7, 2017
  • 5 star review  Mr. Groden was definitely the best tutor I've ever had. He makes learning easy and enjoyable and he never makes you feel dumb for asking questions. He's an amazing person and an even more amazing tutor. I would definitely recommend him for anyone struggling with math.

    Anabel Escogido Avatar Anabel Escogido
    January 30, 2017

    5 star review  Mr. Groden came to our family's rescue not once...but twice. Both kids struggled in pre calc and we were fortunate to be put in touch with Mr. Groden. First Mr. Groden worked with my son in parallel pre calc and just recently he has helped my daughter in honors pre calc. Mr. Groden is able to really connect with his clients and explain math concepts in a way that my kids were able to understand. They both said "it clicked" and that's exactly what I wanted to hear. He took them from struggling to confident, with both kids ending out the course successfully (well...my daughter is nearing the end;).

    Kristin Schoenleber Avatar Kristin Schoenleber
    April 25, 2017
  • 5 star review  My son had Mr. Groden as a teacher at PHS and my daughter attending Summer AP Calc Prep. Matt does the unthinkable, he makes Calc fun for his students and they are not afraid to make mistakes or ask for help. My daughter feels more confident having attended "math camp". Thank you!

    Tamie Palatine Avatar Tamie Palatine
    August 13, 2017

    5 star review  I was lucky enough to have Mr. Groden as my teacher for two classes throughout high school. In school, math was never my strong suite but Mr. Groden was able to use real life examples that pertained to myself that helped me with understanding the math. After a couple of years, I started attending Rider University where I studied Business. I hadn't been in a math class in years so when I found out that I had to take Quantitative Methods for Business, I knew that I was in trouble. After receiving my first test and seeing that I received a low C, I reached out to Mr. Groden to see if he were doing any tutoring and surly enough he was. Mr. Groden met with me once a week and again was able to use real life examples that pertained to myself and I was able to understand the math. I ended the semester receiving an A in the class, and I know 100% I would not have reached that without Mr. Grodens help. Thank you!

    Bobby Antinoro Avatar Bobby Antinoro
    February 2, 2017
  • 5 star review  Matt is incredible at translating the difficult to understand into easy to learn concepts. He helped our son who was struggling with calculus to attain good grades. We can't recommend him highly enough !

    Dena Cimakosky Scalamandre Avatar Dena Cimakosky Scalamandre
    January 22, 2017

    positive review  Matt does a fantastic job of helping the students understand how to apply formulas and why they work! He never just has the students memorize formulas. My son really liked his approach and it helped that he made videos to refer to when he needed a refresher during the week. I would highly recommend his courses!

    Kelley Magee Coyne Avatar Kelley Magee Coyne
    August 15, 2018
  • 5 star review  My daughter was fortunate to have Mr. Groden for both AP Calc AB and BC and she rocked both classes and the AP exam. Now a college junior she's already sailed though Calc 4 and we attribute her success to the foundation she received from Mr. Groden. He loves teaching and motivating his students and that enthusiasm radiates through everything he does.

    Stacey Poppel Groder Avatar Stacey Poppel Groder
    January 16, 2017

    5 star review  Matt helped my daughter prepare for a test last minute when another tutor canceled only a few hours before the session! You can tell Matt genuinely cares about the students success. We hope to enroll in one of his summer sessions and SAT prep courses. Thanks again, Matt!

    Dana Weissenberg Avatar Dana Weissenberg
    May 2, 2017
  • 5 star review  Mr Groden has the ability to make calculus (and math in general) fun, meaningful, relevant, etc. and to relate complex concepts in a way that not only makes sense, but also gives the students the ability to re-apply the concepts later on. Our son had Mr. Groden as his calculus teacher in high school, and our daughter has now used Mr. Groden's services for both SAT prep and AB Calculus weekly review. Both have been excellent and more than worth the money spent.

    Dara Bortman Avatar Dara Bortman
    February 5, 2018

    5 star review  Mr. Groden is a great teacher. His sense of humor keeps students engaged; and his use of real world examples brings relevance to difficult math concepts.

    Mimi Lombardo Miller Avatar Mimi Lombardo Miller
    August 15, 2017
  • 5 star review  Mr. Groden is passionate about teaching and leading his student to success. My son took his SAT prep course and he had nothing but praise for Mr. Groden. Not only is he a great teacher, but his students like and respect him and therefore are eager to learn. Every time I picked my son up from the class he had something positive to say. I would recommend Mr. Groden's tutoring or SAT Prep to anyone looking for real results from an enthusiastic and dedicated teacher.

    Tanika Wright Ciavardone Avatar Tanika Wright Ciavardone
    August 10, 2017

    5 star review  Mr. Groden's enthusiasm and energy for teaching math is unparalleled. My son attended Mr. Groden's AP calculus test prep course and looked forward to the sessions. He feels completely prepared for the AP test. Thank you!

    Leann Marseglia Collins Avatar Leann Marseglia Collins
    May 7, 2017
  • 5 star review  My daughter had a great experience in Mr. Groden's SAT prep class. We had been searching for an effective affordable option and this in person class was just the right choice!! Excellent follow up and communication of expectations each week prior to class helped the kids keep on track. It also helped me know what was covered and what was expected of her. Nice work! I highly recommend!

    Julie Fenley Avatar Julie Fenley
    August 17, 2017

    5 star review  My daughter loved working with Matt through his Middle School Math Foundations course. She was apprehensive to take Math for fun over the summer alongside her other activities but absolutely loved Matts approach to teaching! She is sad to see it end but is looking forward to continuing with him throughout her education! Highly recommend Matt to all my friends and family out there!

    Stephanie Remmey Bissol Avatar Stephanie Remmey Bissol
    August 16, 2017
  • 5 star review  Mr. Groden's excitement for math is contagious, and his commitment to inspiring each and every one of us to succeed is incredible. It was an absolute privilege to learn from him and call him my teacher.

    Dashiell Brown Avatar Dashiell Brown
    January 18, 2017

    5 star review  I took a Calc. 2 class at BCCC this semester and we missed 3 weeks of class due to snow, meaning my professor had to condence the material and breeze by a lot of important concepts. If it hadn't been for Matt there is no way I would've passed the course. He presented everything in a clear, comprehensive, and easy to understand way that I've never really experienced before and I did really well because of it. He took the time to explain everything, answered all of my questions and made sure that I was keeping up with him every step of the. He's a genuine guy who really wants you to learn and enjoys teaching. I highly recommend him for anyone who is struggling with their course work, you'll never make a better investment.

    Ben Peszka Avatar Ben Peszka
    May 7, 2018
  • 5 star review  Matt is amazing! Both of my children see him weekly and they love when he comes to tutor. He is extremely knowledgeable and has a different perspective on teaching math the the kids really get excited about. I don't think I have met anyone more enthusiastic about math, ever. It's inspiring for the kids to work with someone that truly loves teaching math!

    Yvonne Klebe Foote Avatar Yvonne Klebe Foote
    June 12, 2017

    positive review  If you are looking for an SAT prep class, look no further. My son took Matt's course this past summer and was able to increase his score 100 points after taking the classes. Thank you, Matt for your help!

    Alice Ann Miller Narlis Avatar Alice Ann Miller Narlis
    November 6, 2018
» Ask a Question
  • This field is for validation purposes and should be left unchanged.
    Back to Top ↑

    © Matt Groden
    Contact
    Privacy Policy
    © 2021 Problem Solved Math
    Responsive II powered by WordPress
    ↑
    • Home
    • About
      ▼
      • About PSM
      • FAQs
    • Courses
      ▼
      • 6th Grade Math
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1: Whole Numbers & Decimals
        • Chapter 2: Representing Data In Different Ways
        • Chapter 3: Variables, Algebraic Expressions, & Solving Equations
        • Chapter 4: Divisibility, Factoring Numbers, & Fractions
        • Chapter 5: Addition and Subtraction of Fractions
        • Chapter 6: Multiplication and Division of Fractions
        • Chapter 7: Ratios, Proportions, and Percents
        • Chapter 8: Fundamentals of Geometry
        • Chapter 9: Unit Conversions, Perimeter, Area, & Volume
        • Chapter 10: Introduction to Probability
        • Chapter 11: Integers – Properties, Operations, & Equations
        • Chapter 12: Two-Step Equations and Inequalities
      • Pre-Algebra
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1: Algebraic Expressions & Operations with Integers
        • Chapter 2: One-Step Equations & Inequalities
        • Chapter 3: Operations and Equations With Decimals
        • Chapter 4: Factors, Simplifying Fractions, and Exponent Rules
        • Chapter 5: Fraction Operations & Solving Equations with Fractions
        • Chapter 6: Operations and Uses of Ratios, Proportions, & Percents
        • Chapter 7: Solving Equations and Inequalities
        • Chapter 8: Relations & Functions, Slope, Lines, and Graphing
        • Chapter 9: Foundations of Geometry
        • Chapter 10: Areas of Two- & Three-Dimensional Figures and Volume
        • Chapter 11: Right Triangles and An Introduction to Trigonometry
        • Chapter 12: Data Analysis: Techniques and Calculations
        • Chapter 13: Probability, Combinations, and Permutations
        • Chapter 14: Foundations of Non-Linear Functions and Polynomial Operations
      • Algebra 1
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1: Algebraic Expressions and Operations with Real Numbers
        • Chapter 2: Solving Equations – From One-Step to Multi-Step
        • Chapter 3: Ratios, Proportions, & Percents
        • Chapter 4: Solving Inequalities
        • Chapter 5: Introduction to Graphs and Functions
        • Chapter 6: Linear Functions and Graphing Lines
        • Chapter 7: Systems of Linear Equations and Linear Inequalities
        • Chapter 8: Exponent Rules & Exponential Functions
        • Chapter 9: Polynomials
        • Chapter 10: Graphing and Solving Quadratic Equations
        • Chapter 11: Introduction to Rational Expressions
        • Chapter 12: Radicals and An Introduction to Trigonometry
        • Chapter 13: Data Analysis: Techniques and Calculations
        • Chapter 14: Probability, Combinations, and Permutations
      • Calculus 1 & 2 / AB / BC
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1 – Limits
        • Chapter 2 – Derivatives
        • Chapter 3 – Uses of the Derivative
        • Chapter 4 – Integration
        • Chapter 5 – Derivatives and Integrals of Exponential Functions, Logarithms, and Inverse Trigonometry
        • Chapter 6 – Differential Equations and Exponential & Logistic Growth
        • Chapter 7 – Area, Volume, and Arc Length
        • Chapter 8 – Advanced Integration Techniques and Improper Integrals
        • Chapter 9 – Series and Tests for Convergence and Divergence
        • Chapter 10 – Taylor Polynomials and Power Series
        • Chapter 11 – The Calculus of Parametric and Polar Equations
    • Free Videos!
    • Pricing
    • Contact
    • Log In