# Intro toÂ exponents

CCSS Math: 6.EE.A.1

## Video transcript

You already know that we can view multiplication as repeated addition. So, if we had 2 times 3 (2 Ã— 3), we could literally view this as 3 2's being added together. So it could be 2 + 2 + 2. Notice this is [COUNTING: 1, 2] 3 2's. And when you add those 2's together, you get 6. What we're going to introduce you to in this video is the idea of repeated multiplication â€“ a new operation that really can be viewed as repeated multiplication. And that's the operation of taking an '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 to the 3rd power (2^3) â€“ which is how we would say this. (So let me write this down in the appropriate colors.) So 2 to the 3rd power. (2^3.) So you might be tempted to say, "Hey, maybe this is 2 Ã— 3, which would be 6." But remember, I just said this is repeated multiplication. So if I have 2 to the 3rd power, (2^3), this literally means multiplying 3 2's together. So this would be equal to, not 2 + 2 + 2, but 2 Ã— ... (And Iâ€™ll use a little dot to signify multiplication.) ... 2 Ã— 2 Ã— 2. Well, what's 2 Ã— 2 Ã— 2? Well that is equal to 8. (2 Ã— 2 Ã— 2 = 8.) So 2 to the 3rd power is equal to 8. (2^3 = 8.) Let's try a few more examples here. What is 3 to the 2nd power (3^2) going to be equal to? And I'll let you think about that for a second. I encourage you to pause the video. So let's think it through. This literally means multiplying 2 3's. So let's multiply 3 â€“ (Let me do that in yellow.) Let's multiply 3 Ã— 3. So this is going to be equal to 9. Letâ€™s do a few more examples. What is, say, 5 to the â€“ let's say â€“ 5 to the 4th power (5^4)? And what you'll see here is this number is going to get large very, very, very fast. So 5 to the 4th power (5^4) is going to be equal to multiplying 4 5's together. So 5^4 = 5 Ã— 5 Ã— 5 Ã— 5. Notice, we have [COUNTING: 1, 2, 3] 4 5's. And we are multiplying them. We are not adding them. This is not 5 Ã— 4. This is not 20. This is 5 Ã— 5 Ã— 5 Ã— 5. So what is this going to be? Well 5 Ã— 5 is 25. (5 Ã— 5 = 25.) 25 Ã— 5 is 125. (25 Ã— 5 = 125.) 125 Ã— 5 is 625. (125 Ã— 5 = 625.)