What Form 2220 Index 2023-2024

Hi there and welcome to another video from Hegarty Maths. It's Mr. Haggerty here, and in this video, we're talking about index form. Our first video on the topic where we introduce the ideas, and we talk about in particular powers of positive integers. So to start with, if someone said "added but to itself six times," mathematicians have a way of writing that. They would say that is six multiplied by two or six lots of -. Right now, I want you to consider just in the same way that this is six lots of -. Imagine instead of a repeated addition, I had a repeated multiplication like 2 times 2 times 2 times 2 times 2 times 2 times by itself six times. A mathematician is bound to have a quick way of writing it. Do you know how they do it? Well, they write - like this to the power of 6, and that means the number 2 is multiplied by itself 6 times. That's their shorthand way of doing it because, after all, they are fairly lazy. So let's expand on this idea. 2 times 2 times 2 times 2 times 2 times 2, a mathematician would write 2 with a little number there, 6, and the way they would say it, they would say 2 to the power of 6. Now the number 2 has a special name. This is called the base number. It is the number getting multiplied by itself. And the 6 here has some different names, actually. It may be called the index, okay? It may be called the power, and sometimes it's even called the exponent. And all of those things are just how many times the base number gets multiplied by itself. Now just a little bit more vocabulary....