Brian McLogan
Overview of exponential graphs
π Learn all about graphing exponential functions. An exponential function is a function whose value increases rapidly. To graph an exponential function, it is usually useful to first graph the parent function (without transformations)....
Why U
Pre-Algebra 22 - Exponents of One, Zero, and Negative
Integer exponents greater than one represent the number of copies of the base which are multiplied together. But what if the exponent is one, zero or negative? Using the rules of adding and subtracting exponents, we can see what the...
Brian McLogan
Converting an exponential equation to logarithmic
π Learn how to convert exponential equations to logarithmic equations. The logarithm of a number in a given base is the index/exponent to which the base must be raised to obtain the given number. In other words, log [base a] of x = m...
FuseSchool
MATHS - Algebra - Different Parts of an Equation
Expressions, equations, formulae and identities are all slightly different types of algebraic notation. In this video weβre going to discover the differences. An expression is a collection of letters and numbers, with no equals sign. An...
Curated Video
Understanding Powers of 10 and Place Value
In this video, students learn about using whole number exponents to represent powers of 10 and how it relates to place value. The video explains how to write numbers like 10 to the 4th power as a whole number, which is 10,000, and shows...
Brian McLogan
Using order of operations to simplify an expression - Online Tutor
π Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression...
Tarver Academy
Expressions and Variables - Power, Base, and Exponents - ALGEBRA I
In This Episode, Tyler Teaches Us About Expressions and Variables - Power, Base, and Exponents - ALGEBRA I
Brian McLogan
Degree and Leading coefficient of a polynomial
π Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the highest power (exponent) of the individual terms that make up the polynomial. For terms with more that...
Curated Video
Apply Exponents to Negative Bases
Learn how to apply exponents to negative bases in mathematics. Recognize negative bases and the importance of using parentheses to indicate a negative base. Review the patterns that emerge when raising negative bases to different...
Curated Video
Simplifying Simple Expressions with 0 and Negative Exponents
In this video, students are taught how to simplify expressions involving 0 and negative exponents. The teacher explains the rules for adding and subtracting exponents when multiplying or dividing exponential expressions with the same base.
Brian McLogan
Simplifying Expressions with Negative Exponents
π Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating...
Zach Star
So why do the volumes of all even dimensional unit spheres sum to e^Ο?
So why do the volumes of all even dimensional unit spheres sum to e^Ο?
Brian McLogan
Simplifying the sum of two rational expressions with like denominators
π Learn how to add and subtract rational expressions by applying the rules of exponents. When adding and subtracting rational expressions we need to have common denominators. To obtain common denominators we will need to multiply the...
Tarver Academy
Order of Operations MEDIUM Example 1 - ALGEBRA I
In This Episode, Tyler Teaches Us About Order of Operations MEDIUM Example 1 - ALGEBRA I
Curated Video
Understanding Powers of 10 and Exponents
In this video, students learn how to represent powers of 10 using exponents. They are taught that multiplying a number by a power of 10 shifts the digits to the left the same number of times as the number of zeros in the power of 10. The...
Catalyst University
Limits of Exponentials and Sums of Exponentials
Limits of Exponentials and Sums of Exponentials
Brian McLogan
What are the properties of logarithms and natural logarithms
π Learn all about the properties of logarithms. The logarithm of a number say a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a). The...
Curated Video
Exploring Exponential Growth: Determining Population
In this video, students will learn how to determine population growth using an exponential model. The teacher explains the concepts of exponents and bases, as well as the difference between independent and dependent variables. Through...
Curated Video
Identifying Exponential Relationships: Finding Patterns in Data
In this video, the teacher explains how to identify an exponential relationship by looking for patterns in a problem. They emphasize that just because an exponent is used does not mean the relationship is exponential. The teacher...
Curated Video
Finding the Value of a Number with Exponents
In this lesson, students will learn how to find the value of a number with an exponent. Using the example of four to the third power, they will understand that the base number is the factor and the exponent indicates how many times it...
Professor Dave Explains
Alternating Series, Types of Convergence, and The Ratio Test
An introduction to alternating series, and an overview of the types of convergence and the ratio test.
Brian McLogan
Learn how to identify horizontal and vertical shifts of multiple functions
π Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Brian McLogan
Simplify an expression use rules of exponents - free online tutoring
π Learn how to simplify expressions using the product rule of exponents. The product rule of exponents states that the product of powers with a common base is equivalent to a power with the common base and an exponent which is the sum of...
Curated Video
Generating Pythagorean Triples Using the Identity
In this video, the teacher explains how to generate Pythagorean triples using a mathematical identity. They also clarify common misconceptions about order of operations when simplifying expressions.