Curated Video
Understanding Exponents with Negative Bases
This video, explains how to apply exponents to negative bases by understanding different notations. Understand that a negative sign in front of a base number does not mean a negative base, but rather indicates that the negative should be...
Curated Video
Dividing Numbers in Scientific Notation Using Exponents
In this video, the teacher explains how to divide numbers in scientific notation using the property of exponents. They review dividing powers with the same base and demonstrate how to simplify the quotient by removing common factors.
Curated Video
Dividing Exponential Expressions
In this video lesson, students learn how to divide exponential expressions by observing and generalizing a pattern. The teacher explains the concept of exponents and reviews the rule that states any number divided by itself is one....
Brian McLogan
Implicit differentiation using power rule
👉 Learn how to find the derivative of an implicit function. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a...
Curated Video
Adding and Subtracting Polynomials without Like Terms
In this video, the teacher explains how to combine polynomials without like terms by adding and subtracting them. They demonstrate different methods, such as vertical addition and creating tables, to help students understand the concept.
Brian McLogan
Solving Exponential equations
👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both...
Brian McLogan
Finding the formula of alternating signs of a sequence
👉 Learn how to write the rule of a sequence given a sequence of numbers. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. To write the explicit formula of...
Curated Video
Introduction to Sketching Graphs
This video provides an introduction to sketching graphs, discussing important points to consider such as the shape of the graph, its intersection, and turning points. The speaker reviews the general shapes of common graphs such as...
Why U
Pre-Algebra 23 - Scientific Notation
Scientific notation allows us to more easily express very large or very small numbers encountered in engineering and science. Using exponents, we can convert standard decimal numbers into scientific notation and vice versa.
Brian McLogan
Solving logarithmic equations by factoring
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Why U
Pre-Algebra 29 - Roots and Unit Fraction Exponents
Exponents can not only be integers. They can also be fractions. Using the rules of exponents, we can see why a number raised to the power "one over n" is equivalent to the nth root of that number.
Brian McLogan
How do you expand logarithmic expressions
👉 Learn how to condense/expand logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the...
Brian McLogan
Overview of logs using exponents
👉 Learn how to condense/expand logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the...
Curated Video
Using Exponential Equations and Natural Logarithms to Solve Real Life Problems
In this video, the teacher explains how to solve a real-life exponential equation using the natural logarithm. The example used is determining how long it will take for hot soup to cool down to a comfortable temperature. The teacher...
Brian McLogan
Transfering from logarithmic form to exponential
👉 Learn how to convert logarithmic equations to exponential 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...
Why U
Pre-Algebra 26 - Simplifying Mixed Exponential Expressions
Exponential expressions with multiplied and divided terms can be simplified using the rules of adding and subtracting exponents.
Brian McLogan
Using the properties of Natural logs to solve an exponential equations
👉 Learn how to solve exponential equations in base e. An exponential equation is an equation in which a variable occurs as an exponent. e is a mathematical constant approximately equal to 2.71828. e^x is a special type of exponential...
Why U
Pre-Algebra 28 - Raising Products and Quotients to Powers
Any expression consisting of multiplied and divided terms can be enclosed in parentheses and raised to a power. This can then be simplified using the rules for multiplying exponents.
Brian McLogan
Combining rational expression with like denominators
👉 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...
Curated Video
Solve an Exponential Word Problem of Base 2
This video covers how to solve word problems involving exponential equations of base 2 using logarithms. The examples given include determining the number of times a stack of paper needs to be doubled to reach the moon and calculating...
Brian McLogan
Solving an exponential equation with a fraction as the exponent
👉 Learn about solving exponential equations. Exponential equations are equations involving exponents. To solve an exponential equation, we express the terms in both sides of the equality sign as single terms. Then, we express the single...
Brian McLogan
What do I need to know to expand logarithmic expressions
👉 Learn how to condense/expand logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the...
Brian McLogan
Solving for a variable by converting to exponential
👉 Learn how to solve logarithmic equations. Logarithmic equations are equations with logarithms in them. To solve a logarithmic equation, we first isolate the logarithm part of the equation. After we have isolated the logarithm part of...
Brian McLogan
Solving Exponential equations
👉 Learn how to solve exponential equations in base e. An exponential equation is an equation in which a variable occurs as an exponent. e is a mathematical constant approximately equal to 2.71828. e^x is a special type of exponential...