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 2 times by itself 6 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 and that's their shorthand way of doing it because after all they are fairly lazy so let's expand on this idea do 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...

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