Exponential and Radical Rules

It just multiplies out. The lesson provides the rules for operations with exponents and keeps them as positive integers in the lesson. Videos explain the rules for the operations with exponents while working out examples. 

Starting from the basic definition of a radical as a square root, this short but deep presentation walks the learner through irrational numbers, using prime factorization to simplify square roots, and rationalizing denominators. Each...

Sal defines the product rule and then shows two examples of how it is used. He then shows an example of finding the derivative by using both the chain rule and product rule together.

"Demystifying" an often mysterious problem, Sal demonstrates some tricks for considering exponents intuitively, rather than working them out each time. He first takes viewers through positive exponents and works up to negative exponents,...

This work is radical! The video provides a refresher on radicals. The segment of an extensive basic geometry playlist reminds the class of the the rules for operating and simplifying expressions involving radicals.

Strengthen your classes' understanding of an exponent before tackling its properties. A quick video lesson reviews the role of an exponent by rewriting expressions with repeated multiplication. Learners watch as the instructor explains...

Build an understanding of solving radical equations through an engaging video tutorial. Learners observe the steps of solving radical equations as the instructor works through two examples, including one with an extraneous solution.

Class members learn how to evaluate derivatives of functions using the Chain Rule through a video that shows the steps of finding a derivative with the Chain Rule. The two examples include both a trigonometric and polynomial function.

Performing arithmetic with radical expressions is one of those summary tasks pulling together a surprising number of subskills. Learners need to simplify radicals, identify common radicands, perform FOIL, along with applying arithmetic...

Create a human fraction to learn about division of exponents. Scholars develop the rule for division of exponents by being part of a human fraction to explore and justify the rule. They also consider zero exponents and negative exponents.