How Form 2220 Index 2023-2024

In this video, we're going to focus on simplifying exponents. But let's go over some basic properties. What is X to the fourth times X to the fifth? Whenever you multiply by a common base, you need to add the exponents. 4 plus 5 is 9. X to the fourth is basically multiplying 4 X variables together, and X to the fifth is equivalent to multiplying five X variables together. So in total, you're multiplying 9 X variables together, and that's why it's equal to X to the ninth. Now, what about division? Let's say if you divide by a common base, what should you do with the exponents? You need to subtract. X is 7 divided by X to the 3. Subtract 7 by 3, and that's going to be X to the 7. X to the 7 is equivalent to 7 X variables multiplied to each other, and X cubed is simply X times X times X. So we can cancel 3 X variables, which we'll leave behind for X variables on top, and so that's the answer. There's another one. What is X to the third raised to the fourth power? Whenever we raise one exponent to another in a situation like this, you need to multiply. It's going to be 3 times 4, which is 12. So X to the third raised to the fourth power means that you're multiplying 4 X cubed values, and each X cubed is basically three X variables multiplied to each other. So if you count all the X variables, what we have is a total of 12, and that's why it's equal to X to the 12. Now, what about X raised to the power? What is that equal to? Anything raised to the power is 1. So 4 to the...