If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

# Intro to exponents

CCSS.Math:

## Video transcript

you already know that we can view multiplication as repeated addition so if we had two times three we could literally view this as three twos being added together so it could be two plus two plus two notice this is one two three twos and when you when you add those twos you get six what we're going to introduce you to in this video is the idea of repeated multiplication a new operation that really can be viewed as repeated multiplication and that's the operation of taking an exponent exponent and it sounds very fancy but we'll see with a few examples that it's not too bad so now let's take the idea of 2 2 to the third power which is how we would let me write this down in the appropriate colors so 2 to the third power so you might be tempted to say hey maybe this is 2 times 3 which would be 6 but remember I just said this is repeated multiplication so if I have 2 to the third power this literally means multiplying three twos so this would be equal to this would be equal to not 2 plus 2 plus 2 but 2 times I'll use a little dot for multiplication 2 times 2 times 2 well what's 2 times 2 times 2 well that is equal to 8 so that is equal to 8 so 2 to the third power is equal to 8 let's try a few more examples here what is what is 3 what is 3 to the 2nd power going to be equal to I don't you think about that for a second I encourage you to pause the video so let's think it through this literally means multiplying two two threes so let's multiply three let me do that in yellow color let's multiply three times three so this is going to be equal to 9 let's do a few more examples what is what is say five to the let's say five to the fourth power and what you'll see here is this number is going to get large very very very fast so five to the fourth power is going to be equal to multiplying 4 5 so 5 times 5 times 5 times 5 notice we have 1 2 3 4 5 s and we are multiplying them we're not adding it this is not 5 times 4 this is not 20 this is 5 times 5 times 5 times 5 so what is this going to be well 5 times 5 is 25 25 times 5 is 125 125 times 5 is 625