Brian McLogan
Apply Rules Of Exponents with e to Simplify | 8 Examples
It is very helpful to simplify expressions with e. In this video we will apply the rules of exponents when our base is e.
Brian McLogan
Learn how to divide two numbers in scientific notation
👉 Learn how to divide numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first...
Brian McLogan
Learn how to solve logarithmic equation by rewriting as an exponential equations
👉 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
Learn how to expand logarithmic expressions using the product rule
👉 Learn how to expand logarithms using the product/power rule. The product rule of logarithms states that the logarithm of a product to a given base is equivalent to the sum of the logarithms of the terms that make up the product to the...
Brian McLogan
Expanding logarithmic expressions
👉 Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm...
Brian McLogan
Learn how to not follow PEMDAS and still simplify an expression with the rules of exponents
👉 Learn how to simplify expressions by multiplying its terms. When multiplying expressions, each individual term of the expression is multiplied to its like term and the exponents are evaluated using the product rule, the quotient rule...
Brian McLogan
What is the Zero Power Property of Exponents
👉 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...
Brian McLogan
How to Multiply Using the Distributive Property | Simplify by Multiplying
👉 Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the...
Brian McLogan
How to apply power to product rule to simplify an expression with exponents
👉 Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the...
Brian McLogan
Applying the quotient rule to simplify a rational expression
👉 Learn how to simplify expressions using the quotient rule and the negative exponent rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base...
Brian McLogan
Applying the Distributive Property to a Trinomial
👉 Learn how to multiply polynomials. We apply the distributive property to polynomials by multiplying a monomial to every term in a polynomial. When multiplying monomials it is important that we multiply the coefficients and apply the...
Brian McLogan
Adding and subtracting a radical expression
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Brian McLogan
Where does logarithmic equations come from
👉 Learn all about 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 logarithm of a number is...
Brian McLogan
Learn how to simplify an expression with rational exponents using power to quotient rule
👉 Learn how to simplify rational powers using the power and the quotient rules. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the quotient law which states...
Brian McLogan
Graphing an exponential function using transformations
👉 Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table...
Catalyst University
Crystal Lattice Structures: Density Calculation 5
Crystal Lattice Structures: Density Calculation 5
Brian McLogan
What is a Monomial - Teacher Explains All
👉 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...
Brian McLogan
Learn How to Multiply a Monomial by a Trinomial
👉 Learn how to multiply polynomials. We apply the distributive property to polynomials by multiplying a monomial to every term in a polynomial. When multiplying monomials it is important that we multiply the coefficients and apply the...
Brian McLogan
How to find the degree and leading coefficient of a polynomial (mistake)
👉 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...
Brian McLogan
Evaluate an expression with one variable ex7, 3(8(y - 1)^2 - 4); y = 2
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to...
Brian McLogan
Master Solving Exponential equations by using a calculator
Master Solving Exponential equations by using a calculator
Brian McLogan
Writing an equation in exponential form to logarithmic
👉 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...
Brian McLogan
Solving an equation with a logarithm on both sides
👉 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...
Curated Video
Raising Exponential Expressions to a Power
In this video, the teacher explains how to raise an exponential expression to a power by noticing and generalizing a pattern. They provide examples and explain the rules for multiplying and adding exponents when dealing with exponential...