Brian McLogan
How to simplify an expression using division property 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
Writing the reciprocal of a fraction to write an expression with a positive power
👉 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
Simplifying a number raised to a power exponents
👉 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 simplify an exponent with a rational power using power rule of exponents
Learn how to evaluate numbers raised to rational powers. When given a number raised to a rational power, we take the nth root of the number where n is the number in the denominator of the rational power, then we raise the result to a...
Brian McLogan
How to Solve a Radical Equation by Rewriting Your Radical with a Rational Power
👉 Learn how to solve radical equations having one radical term. To solve a radical equation having one radical terms, we isolate the radical term by placing it in one side of the equation. Next, we get rid of the radical by taking on...
Brian McLogan
How to evaluate a number raised to a rational exponent
Learn how to evaluate numbers raised to rational powers. When given a number raised to a rational power, we take the nth root of the number where n is the number in the denominator of the rational power, then we raise the result to a...
Brian McLogan
Apply the power rule with fractional exponents to simplify the expression
👉 Learn how to simplify rational powers using the power rule. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the power rule which states that when an...
Brian McLogan
Apply power to product and power to quotient rule with rational powers
👉 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
Solving an equation using the one to one property of exponents 5^(x+1) = 125^x
👉 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
What are the basic properties of logarithms
👉 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...
Brian McLogan
Using the distributive property from a monomial to a trinomial
In this video series I show you how to multiply polynomials. We will multiply polynomials by using distributive property by multiplying only like terms. When are terms are raised to a power we will apply the product rule of exponents.
Brian McLogan
Tutorial - Evaluating Logarithms without a Calculator
👉 Learn how to evaluate basic logarithms. Recall that the logarithm of a number says 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). Thus,...
Brian McLogan
Converting a radical expression to a exponent with a rational power root
👉 Learn how to convert a radical to rational power. 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...
Brian McLogan
Master Simplifying expressions with negative exponents
Master Simplifying expressions with negative exponents
Curated Video
Using the Quotient of Powers Property
This video lesson will explore the Quotient of Powers Property which states that when dividing two exponents with the same base, you can subtract the exponents and keep the base. This property will always work as long as the base is not...
Curated Video
Dividing Simple Polynomials and Examining Rational Expressions
In this video, the teacher explains how to divide simple polynomials and explores whether polynomials are closed under division. The concept is illustrated through examples of rational expressions and factoring.
Curated Video
High Performance Scientific Computing with C 2.1: Floating-Point Numbers and IEEE-754
How are real numbers stored and manipulated? How does this affect our program’s performance? • Learn how the IEEE-754 standard defines floating-point storage • Learn the range of floating-point numbers • See how we can go beyond this...
Brian McLogan
How to subract a trinomial from a binomial
👉 Learn how to subtract polynomials. To subtract 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...
Brian McLogan
Learn to multiply two rational expressions together
👉 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
Multiplying two monomials
👉 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
How to use the power rule of exponents to simplify
👉 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 rules of exponents when mulitplying 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
Applying the power to product rule to simplify an expression
👉 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...