What Do Squared & Cubed Mean?

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"Squared" and "Cubed" are two terms that seem similar but mean very different things. Learn the definitions of "Squared" and "Cubed."

Part of the Video Series: Mathematics Lessons
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Video Transcript

Hi, I'm Jimmy Chang and we're here to talk about what do squared and cubed mean. Now they're two very important algebra concepts that we're going to talk about along the way but we're going to talk about them one at a time. So first we're going to discuss what squared means. Now when you square something that means you're raising it to the 2nd power. For example if you have 3 squared, that means you're multiplying by itself twice. And 3 squared means 3x3 which you know is 9. Now you can do this with any number. For example if you had -4 squared, that means you're raising -4 to the second power. That means you're multiplying -4 by itself twice. Now negative times a negative is going to be a positive. So you've got to keep that in mind. So 4x4 is 16 so -4 squared is 16. So with squaring you're multiplying by itself two times. Now, when it comes to cubed, that simply means you're multiplying by itself 3 times. In terms of whatever number that you're given. So for example if you have 5 cubed, that means you're multiplying 5 by itself 3 times. In other words it'll be 5x5x5. Now, 5x5 is 25 and 25x5 is going to give you 125. So 5 to the 3rd is 125. Now, you can do the same thing with negative numbers as well. Suppose you have -1 cubed that means you're taking -1 multiplying it by itself 3 times. So you have -1x-1x-1. Now, -1x-1 is going to give you a positive 1. But 1x-1, as you know, positive x a negative is going to be a negative. So that means at the end of the day -1 to the 3rd power is going to be negative 1. So basically squared means raising it to the second power, multiplying by itself twice and then cubed is multiplying it by itself 3 times. So, I'm Jimmy Chang and that's an illustration as to what do squared and cubed mean.

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