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
Learn how to divide two radical expressions together with variables and numbers
👉 Learn how to find the cube root of rational expressions. To find the cube root of a rational expression, we first express the rational expression as the cube root of the numerator divided by the cube root of the denominator. Next we...
Brian McLogan
Master Solving Exponential equations by using a calculator
Master Solving Exponential equations by using a calculator
Brian McLogan
How to determine, domain range, and the asymptote for an exponential graph
👉 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)....
Brian McLogan
How to divide two rational expression by using the division property
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the...
Brian McLogan
Use pascals triangle to expand a binomial to the 6th power
👉 Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion...
Brian McLogan
How to rewrite a logarithmic expression as one single logarithm
👉 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 an exponential equation by converting to a logarithmic equation
👉 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
Learn how to condense a logarithm over subtraction of two logs
👉 Learn how to condense 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 expanded...
Brian McLogan
Using Carbon dating to determine the age of a fossil
Using Carbon dating to determine the age of a fossil
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...
Brian McLogan
Simplifying an expression using exponents, (22 + 1^3 - (3^4 - 7^2)) / 2^3
👉 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...
Brian McLogan
ACT SAT Prep Learn how to evaluate an expression for a given value
ACT SAT Prep Learn how to evaluate an expression for a given value
Brian McLogan
How to verify a trigonometric identity
👉 Learn how to verify trigonometric identities by expanding the trigonometric expressions. When the given trigonometric expressions involve multiplications with more than one term in parenthesis, we start by expanding the expressions...
Brian McLogan
What are the rules of radicals for multiplying dividing and the sum
👉 Learn the basics of multiplying radicals. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the...
Brian McLogan
Using the rules of exponents to help us multiply and simplify two rational expressions
👉 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 product of powers 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
The long way to apply the product rule to simplify an expression of exponents
👉 Learn how to simplify expressions using the product rule and the negative exponent 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...
Brian McLogan
Simplifying a rational expression by using the rules of exponents
👉 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
Learn how to use the power to product rule with a fraction
👉 Learn how to apply the rules of exponents to simplify an expression. We will focus on applying the product rule, quotient rule as well as power rule. We will then explore multiple properties such as power to product, power to quotient...
Brian McLogan
How to use the power property of 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 power rule of exponents to simplify an expression
👉 Learn how to simplify expressions using the power rule and the negative exponent rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual...
Brian McLogan
Adding Polynomials
👉 Learn how to add polynomials. To add polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you have...
Brian McLogan
Multiplying Polynomials - Math Tutorial
👉 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...