Now we'll look at simplifying expressions that have exponents in them. Now, depending on what level of math class you're in, you may not see too many expressions that have exponents. But just in case you do, you'll know exactly what to do when you come across them once we're done with this lesson. What is an exponent? An exponent represents repeatedly multiplying a number by itself. Here's an example. We have five raised to the power of two, or we can read it as five squared. The five represents the base. This is the number that's going to keep getting multiplied by itself. The two is the exponent. The exponent is always written higher than the base and usually kind of as a smaller number. It tells us how many of the base we're multiplying. So since our base is five and our exponent is two, that means we're going to multiply two fives together, which will look like this. Five times five. We have two fives that we're going to multiply together. And we know that that gives us 25. So that will be our simplified answer. Five raised to the exponent of two is equal to 25. Let's practice a little more. We have five cubed, which is also another way of saying five raised to the third power or the exponent of three. That means we're multiplying five three times. So five times five times five will equal 125. We have two raised to the power of four. We're going to take that two and multiply four of them together. We multiply all those two together, we'll get 16, and then ten raised to the power of two is ten times ten. We're multiplying two tens together, which gives us 100. Okay? So now let's see what happens when we see an exponent placed as a part of an expression. So let's go ahead and simplify this expression. 24 minus two raised to the exponent of three. So we know that we have subtraction. We have a subtraction sign in the middle there, and we have a number that's placed as an exponent. If we look at our order of operations, exponents are simplified before subtraction. So the first thing that we're going to do is simplify the two raised to the three. Okay? That subtraction sign and the 24 don't have anything to do with this step yet. So if we have two raised to the power of three, we're multiplying two by itself three times. So two times two times two, let's do that over to the side. Here's a little workspace over here. So if we have two times two times two, that will give us eight. So now we know two raised to the exponent of three is eight. So we're done the exponent step. Let's bring down the 24 in the subtraction sign. And now we just have subtraction to perform. So 24 minus eight gives us 16. And that's our final answer.