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Instructions and Help about When Form 8815 Index

Now we're going to talk about powers and indices you might have heard of them before they are the little numbers that you sometimes see aren't normal numbers for example if we have a normal sized five if I put a little two on it you might know that that means five squared and it means that we are going to take five and we are going to multiply it by itself five times five 5 times 5 is 25 so 5 squared is 25 now let's say we had 5 with a 3 on it that means 5 cubed which is 5 times 5 times 5 now we're going to work that out 5 times 5 is 25 as we just worked out but then time is that answer 25 by 5 and 25 times 5 is 125 now the little number on top the 3 here there - there they are called indices that's the plural meaning more than one of them if there's only one you call that the index so the index when there's only one or indices and when a number has been written like that it's said to be in index form now let's have a look at another example if we had 2 to the power of 4 now unlike to the power of 2 where we call it Q squared and to the power of 3 where we call it cubed to the power of 4 doesn't have a special name you just say 2 to the power of 4 it means 2 times 2 times 2 times 2 cheese 2 times 2 which is 4 times that by 2 which is 8 and times that by 2 sixteen so now let's say someone gave us a song for example five times five times five times five if we had to write that in index form it means we have to write it like that with the little number so if there's an index it means it's in index form so that would be five because that's the main number and because there's one two three four of them it would be five to the power of four that's index form you can also do it with letters so for example if we had an x times it by an x times by another x in index form this would be x and this because there's 1 2 3 of them it would be X to the power of 3 so they are in index form.

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