Instructional Video3:48
Brian McLogan

Multiplying two rational expressions and then using the rules of exponents to simplify

12th - Higher Ed
👉 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...
Instructional Video2:55
Brian McLogan

Simplifying a rational expression using the property of exponents

12th - Higher Ed
👉 Learn how to simplify expressions using the quotient 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 and an exponent which is the...
Instructional Video2:25
Brian McLogan

Applying the quotient rule to simplify a rational expression

12th - Higher Ed
👉 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...
Instructional Video2:35
Brian McLogan

Learn how to solve a proportion by applying cross multiplication

12th - Higher Ed
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we...
Instructional Video3:18
Brian McLogan

What are complex fractions

12th - Higher Ed
👉 Learn how to simplify a complex fraction. A complex fraction is a fraction with another fraction or fractions in the numerator and/or in the denominator. To simplify a complex fraction is to reduce the fraction in such a way as there...
Instructional Video5:26
Brian McLogan

Tips to verifying trigonometric identities

12th - Higher Ed
👉 Learn all about the different trigonometric identities and how they can be used to evaluate, verify, simplify and solve trigonometric equations. The identities discussed in this playlist will involve the quotient, reciprocal,...
Instructional Video2:48
Brian McLogan

Simplifying a rational expression by using the rules of exponents

12th - Higher Ed
👉 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...
Instructional Video3:15
Brian McLogan

Dividing rational expressions

12th - Higher Ed
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...
Instructional Video1:04
Brian McLogan

Simplify an expression by applying the product rule and negative powers

12th - Higher Ed
👉 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...
Instructional Video2:04
Brian McLogan

Rules of exponents to help us simplify a rational expression

12th - Higher Ed
👉 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...
Instructional Video2:06
Brian McLogan

How to divide two radical expressions by using the quotient rule

12th - Higher Ed
👉 Learn how to find the square root of rational expressions. To find the square root of a rational expression, we first express the rational expression as the square root of the numerator divided by the square root of the denominator....
Instructional Video3:37
Brian McLogan

Simplifying a rational trigonometric identity

12th - Higher Ed
👉 Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the terms on the left-hand side of the equality sign is equal to the terms on the right-hand side. To...
Instructional Video2:16
Brian McLogan

Learn to solve an equation raised to a rational power

12th - Higher Ed
👉 Learn how to deal with Rational Powers or Exponents. Exponents are shorthand for repeated multiplication of the same thing by itself. This process of using exponents is called "raising to a power", where the exponent is the "power"....
Instructional Video2:24
Brian McLogan

Simplify a rational expression with two variables

12th - Higher Ed
👉 Learn how to simplify expressions using the quotient 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 and an exponent which is the...
Instructional Video4:12
Brian McLogan

Summary for solving rational equations

12th - Higher Ed
👉 Learn about solving rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational equations, one of...
Instructional Video2:44
Brian McLogan

Solve y using cross multiplication - literal equation

12th - Higher Ed
👉 Learn how to solve literal equations. A literal equation is an equation where the unknown values are represented by variables. To solve a literal equation means to make one of the variables the subject of the formula. When the literal...
Instructional Video1:51
Brian McLogan

Solving an equation by simplifying by getting rid of the denominator

12th - Higher Ed
👉 Learn how to solve two step rational linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. A rational equation is an equation containing at least one fraction whose numerator and (or)...
Instructional Video3:41
Brian McLogan

Simplifying the product of two rational expressions

12th - Higher Ed
👉 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...
Instructional Video5:19
Brian McLogan

Algebra 2 - Rationalizing the denominator with imaginary numbers and using conjugate, (3-4i)/(2-2i)

12th - Higher Ed
In this video playlist you will learn everything you need to know with complex and imaginary numbers (3 - 4i)/(2 - 2i)
Instructional Video2:34
Brian McLogan

Solving a literal equation with one rational expression

12th - Higher Ed
👉 Learn how to solve literal equations involving formulas. A literal equation is an equation where the unknown values are represented by variables. To solve a literal equation means to make one of the variables the subject of the...
Instructional Video0:35
Brian McLogan

Using the power rule with a negative power to simplify an expression

12th - Higher Ed
👉 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...
Instructional Video1:22
Brian McLogan

Combining rational expression with like denominators

12th - Higher Ed
Learn how to add/subtract rational expressions with monomials in the denominator. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator...
Instructional Video12:09
Brian McLogan

Graphing a rational function with a slant asymptote

12th - Higher Ed
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Instructional Video2:08
Brian McLogan

How to simplify a basic rational expression

12th - Higher Ed
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor...