Why Do Negative Exponents Switch Locations?
Negative exponents are often taught as a rule to memorize: move the base across the fraction bar and make the exponent positive. But why does that work? In this lesson, we use exponent patterns and the quotient rule to discover where negative exponents come from. By comparing exponent subtraction with expanded multiplication, you’ll see that […]
Rules of Exponents Explained
Exponent rules don’t have to be a collection of formulas to memorize. Once you understand the patterns behind exponents, the rules begin to make sense and become much easier to use. In this video, you’ll learn the most important exponent rules used throughout Algebra, Geometry, College Algebra, and ACT Math. We’ll work through examples and […]
Simplifying Square Roots Using Perfect Squares
Simplifying radicals doesn’t have to be complicated. The key is learning how to identify perfect square factors hidden inside the radical and use them to rewrite the expression in simplest form. In this video, you’ll learn a step-by-step method for simplifying square roots by breaking numbers into factors, finding the largest perfect square, and pulling […]
Domain and Range Explained | Inputs and Outputs
What do the linear function and the absolute value function have in common? More importantly, how are their domains and ranges different? In this video, we’ll introduce the concepts of domain and range by comparing two familiar functions: a linear function and an absolute value function. You’ll learn how domain represents the possible inputs (x-values) […]
Squaring a Binomial: Why There’s a Middle Term
Why doesn’t (a+b)²+bx+c equal a²+b² ? In this video, I explain where the middle term comes from when squaring a binomial and why so many students make this common mistake. Instead of just memorizing a formula, you’ll see the logic behind the expansion and understand why the result includes the 2ab term. You’ll learn: • […]
Why Does Anything to the Zero Power Equal 1?
Have you ever wondered why anything raised to the zero power equals 1? Many students memorize the rule x^0 = 1, but few understand where it comes from. In this video, we’ll discover the pattern behind exponents and see why the zero exponent rule isn’t something you have to memorize—it actually makes perfect mathematical sense. […]
Factoring Trinomials When the Leading Coefficient is not 1
In this video, I show you how to factor trinomials when the leading coefficient isn’t 1 using the Bodine Method. Many students get stuck when the coefficient of x 2 is greater than 1, but this approach breaks the process into simple, logical steps that are easy to follow. You’ll learn: How to identify the […]