In this video, we're going to look at how we can work with indices or powers. Those are those little numbers that sit up in the air on other numbers. So, we're going to start off with an example of looking at 3 to the power of 2 or 3 squared times by 3 to the power of 3 or 3 cubed. 3 to the power of 2 means 3 is written down twice and times together. 3 to the power of 3 means 3 is written down 3 times and times together. And in this sum, we're multiplying those two bits together. So, we've got 3 written down 5 times and times together. So, that could be written as 3 to the power of 5. Now, what you can actually do with these is you can just spot that these powers, these indices, just get added together. So, the 2 and the 3 added together give us the 5. So, if you're multiplying and the big numbers here are the same with each other, and that's important, these big numbers have to be the same with each other, if you're multiplying, you can just add the powers together. So, if you have a look at another example, if you have a look at 7 to the power of 5 times by 7 to the power of 6 because the big numbers are the same with each other and we're multiplying, that's the same as 7 to the power of 11. We can use these rules when we're dividing as well. If we had 5 to the power of 8 divided by 5 to the power of 6, you won't be surprised that the base has got a big 5 in it as well. But when we were multiplying, we...
Award-winning PDF software
Video instructions and help with filling out and completing Form 8655 Index
