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# Comparing exponent expressions

## Video transcript

so we are asked to order the expressions from least to greatest and this is from the exercises on Khan Academy and if we're doing it on Khan Academy we would drag these little tiles around from least to greatest least on the left greatest on the right I can't drag it around because this is just a picture so I'm gonna evaluate each of these and then I'm gonna rewrite them from least to greatest so let's start with 2 to the 3rd minus 2 to the first what is that going to be 2 to the 3rd minus 2 first and if you feel really confident just pause this video and try to figure out the whole thing order them from least to greatest well 2 to the 3rd that is 2 times 2 times 2 and then 2 to the first well that's just 2 so 2 times 2 is 4 times 2 is 8 minus 2 this is going to be equal to 6 so this expression right over here could be evaluated as being equal to 6 now what about this right over here what is this equal to well let's see we have 2 squared plus 3 to the 0 2 squared is 2 times 2 and anything to the 0 power is going to be equal to 1 it's an interesting thing to think about what 0 to the zeroth power should be but we'll that'll be a topic for another video but here we have 3 to the 0 power which is clearly equal to 1 and so we have 2 times 2 plus 1 this is 4 plus 1 which is equal to 5 so the second tile is equal to 5 and then 3 squared well 3 squared that's just 3 times 3 3 times 3 is equal to 9 so if I were to order them from least to greatest the smallest of these is 2 squared plus 3 to the 0 power that one is equal to 5 so I put that on the left then we have this thing that's equal to 6 2 to the third power minus 2 to the first power and then the largest value here is 3 squared so we would put that tile 3 squared we will put that tile on the right and we're done