## Exponents Resources  Image 52k

Shows the graphs of y = ex and y = loge(x).  e is Euler's Numbers ≅ 2.71828... This journey is heavily inspired by the youtube mathematician Vi Hart, whose videos describing mathematical concepts through doodling in a notebook were the inspiration for much of my mathematical journeys series. I'll put a link to her video on this topic at the end of the journey, and I highly encourage everyone to go check her out. Let's talk exponents. But to do that, first... read more Thanks, Vihart of YouTube!   In this video, elementary algebra is built up from counting to positive numbers to negative numbers to multiplication and division to exponents and logarithms. All these concepts are tied together under the common theme of "fancy counting." That is, each of these operations is tied directly to the fundamental operation of "+1".   All... read more Exponents Exponents are another way of writing multiplication. You use exponents when you want to write that a number is being multiplied by itself one or more times. For example, you might see a number written like this: The number 3 is the number being multiplied. The smaller number 2, near the top, means that there are two 3s that are being multiplied together. In other words,... read more Exponents Lessons Before we dive into simplifying exponents, let's take some time to learn exactly what an exponent is. An exponent is a superscript, or small number written at the top right corner of a number, variable, or set of parentheses. An example of one is shown below. 23 This tells you to multiply 1 by the number as many times as the exponent says. The example above is 2 raised... read more