Mastering Exponents, Exponential Expressions and Equations
Learn to Work With Exponents the Way Mathematicians Do and at Your Own Pace! Includes Sample Problems and Solutions.
4.85 (26 reviews)
90
students
8 hours
content
Jun 2022
last update
$74.99
regular price
What you will learn
Understand the definition of exponents and their component parts.
Become conversant with general vocabulary associated with exponents
Use exponents to represent and evaluate repeated multiplication
Utilize different types of exponents, including negative exponents, the Zero Exponent, variable exponents and non-integer exponents.
Use properties of exponents to combine and simplify exponential expressions
Use a scientific calculator to evaluate powers
Apply rules of exponents to simplify expressions and solve equations, including those with variable exponents
Use Scientific Notation in real-world problems
Recognize and use roots as a special type of exponent and use radicals as well as exponents to represent roots
Apply the Rules of Exponents to roots
Simplify and evaluate roots containing variables
Combine powers and roots into a single exponent
Work with fractional exponents
Solve exponential expressions, including problems involving variables and other advanced problems
Simplify exponential expressions
Rationalize monomial and binomial denominators involving exponents in order to simplify exponential expressions
Why take this course?
🎓 **Course Title:** Mastering Exponents, Exponential Expressions, and Equations
🚀 **Headline:** Learn to Work With Exponents the Way Mathematicians Do – At Your Own Pace! Includes Sample Problems and Solutions.
🎉 **Description:**
Are you struggling with exponents in your mathematics or science class? If so, this course is here to help you master the use of exponents in a variety of contexts. By enrolling in "Mastering Exponents, Exponential Expressions, and Equations," you will gain a deep understanding of the basics of exponents and learn to apply the rules that govern their use in both mathematical and scientific applications.
🧮 **Course Overview:**
Develop confidence with exponents and their applications in this course designed to supplement your existing and future mathematics and science classes. With a focus on clarity and practical application, you'll extend your understanding of exponents by mastering their use in:
- Scientific Notation 🔬
- Solving Exponential Equations 📐
- Simplifying Exponential Expressions ✏️
🤖 **Why Study Exponents?**
Exponents are powerful mathematical tools! They allow us to represent very large or very small numbers in a compact form and solve complex problems efficiently. For instance, the enormous number 12,157,665,459,056,928,801 can be simplified to the more manageable expression 9^20! Similarly, knowing the volume of a cube, we can quickly determine its side length.
📚 **Course Content:**
All Algebra-based mathematics courses and most science courses require a clear understanding of exponents. By mastering these fundamental concepts, you will form a solid foundation for understanding other mathematical topics such as quadratic functions, polynomials, exponential functions, and logarithms. This course is perfect for high school and college level students who are beginning to work with exponents and those who need a review of fundamentals and applications of exponents.
In addition to the core topics, this course covers:
- Using a scientific calculator to evaluate exponential expressions, powers, and negative exponents 🧮
- The Zero Exponent and its implications 💫
- Non-integer bases and exponents, including decimals and fractions 📏
- Substituting numerical values to evaluate exponential expressions ➡️
- Using variables in exponents 🔢
- Understanding Powers (base and exponent) 🌿
- Exploring Roots and Radicals of numbers, including specially named roots 🪄
- The Principal Square Root and rationalizing denominators containing radicals ✍️
- Combining powers and roots into a single (fractional) exponent 🔁
🎥 **Learning Experience:**
The course is designed with you in mind, featuring lessons, short quizzes, and checks for understanding. You'll find a set of practice problems in each section to assess your progress. Over 200 practice problems are included with the course materials, complete with answer keys and video solutions from instructor Ian Wagner, MA, to guide you through challenging problems.
Join us today and transform the way you approach and understand exponents, making complex mathematical and scientific concepts not just solvable but accessible and engaging! 🚀📚
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Reviews
Stafford
May 23, 2022
The Course is well organised and well explained.The minor mistakes i was prone to make while solving exponential equations have come to an end.
Thank you for detailing out the logic behind solving exponential equation, which has tremendously reduced the common error/guess work i would easily tap into when im faced with tough exp problem.I am registering for logarithm course! see you there
Mathinson
May 2, 2022
Thank you, your super. I appretiate the work he does on this course presentations and the learning is excellent.
Leticia
March 1, 2022
Very clear presentation! Writings Extra large with color illustrations, and straight to the point. You cannot miss anything. Speed just right. Thank you !
Marianna
March 26, 2018
I am a 1st year university student and decided to take this course as a nice straight-through course on the one area in which i struggle - exponents.
As I am going through this course, the instructor is very clear and methodical in his explanations. I couldn't think of a way that I would want it improved, so I will put a quick point form of what I noticed:
- the sound quality is very good.
- it has a calm and professional feel.
- there are short quizzes of a few questions :)
- he addresses the pure math principles as well as applied.
- he shows the calculator methods as well and uses 2 different
types of calculators.
- the progression would be good for young students.
grade 7 and up.
I really believe there is no way a person couldn't learn from this video as he conversationally discusses all the hows and whys of exponents.
Great Course!!!
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1168586
udemy ID
4/4/2017
course created date
1/8/2024
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