 In this video, I'm going to be talking about writing exponential expressions in expanded form. So these are the directions you'll see for problems like this. You're going to write each expression, okay, so one of these mathful sentences here, each expression in expanded form. So as you can well imagine when you expand something, it's going to get larger. So when we take this type of expression, we're going to kind of expand it out a little bit. We're going to make it just a little bit bigger than what it looks here. Because the idea behind an exponent is that you compress down your multiplications. Very similarly to when you add something together, excuse me, when you multiply something, it's a shortened form of adding a lot of numbers together. Just like when you square something, take something to the second or to the third or to the fourth. It's a shortened version of doing multiplication. Okay, so what we're going to do is we're going to actually expand this out and see what this looks like. So anyway, what this does, this parentheses. This tells me that it's being squared. The entire parentheses, the five and the Z, are both being squared. So that means I'm going to have two of these. So that means I'm going to have a five, I'm going to have a five, I'm going to have a Z, and I'm going to have a Z, okay, a five and a five, a Z and a Z. That's the quantity five Z squared. So this would be the expanded form, taking away the exponent and just expanding everything out, writing all the different numbers, okay? All right, so go to the next one. Now notice here that we don't have any parentheses for this one, which is okay. So that tells me I have a negative out front, but the S is being taken to the fourth power. Not the negative. The negative is not being taken to the fourth, it's just the S. So it tells me I have one negative, but then I actually have four S's. I have four S's. Okay, so that would be the expanded form of this expression. All right, last but not least, this one, a little bit larger than the rest of them. But again, we've got to pay attention on where the exponent is. Is the exponent on a variable? Is it on a number? Is it on a parentheses? Where is it? Okay, it's got to pay attention to it. Okay, so there's three, and this three here, this exponent, they're not connected in any way, shape or form. This three is all by its lonesome. So that's just going to be my first three. On the other hand, this H, I have three of them. So three H times H times H. So there's the expanded form there. Now I have this parentheses here. This parentheses, I have two of them. This exponent means I have H plus three. I'm going to have two of these parentheses. So I have H plus three and H plus three. Okay, so that would be the expanded form there. Notice that these parentheses here are very different from the parentheses that we had over here. Very, very different, okay? We actually, on this first one, we got rid of the parentheses. We just have five, five, Z and Z. But on this one over here, we actually had to keep them because I have two of these quantities. I have two of the H plus threes. So I got to make sure and keep my parentheses in my expanded form. Okay, this is a very short video on how to write variable expressions in expanded form. Basically what we're doing is we're getting rid of the exponents. And as you can see, exponents are very nice because it's just basically a shortened form of what we have down here. It'd be a very tedious process if we didn't have exponents to kind of shorten everything up. Okay, that is writing exponential expressions in expanded form. I hope this video was helpful.