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what we're going to do in this video is get some practice evaluating exponents of decimals so let's say that I have 0.2 to the third power pause this video see if you can figure out what that is going to be well this would just mean if I take something to the third power that means I take 3 of that number and I multiply them together so that's 0.2 times 0.2 times 0.2 well what is this going to be equal to well if I take is 0.2 times 0.2 that is going to be 0.04 one way to think about it 2 times 2 is 4 and then I have one number behind the decimal to the right of the decimal here I have another digit to the right of the decimal right over here so my product is going to have two digits to the right of the decimal so it'd be 0.04 and then if I were to multiply that times 0.2 so if I were to multiply that together what is that going to be equal to well 4 times 2 is equal to 8 and now I have one two three numbers to the right of the decimal point so my product is going to have one two three numbers to the right of the decimal point so now that we've had a little bit of practice with that let's do another example so let's say that I were to ask you what is 0.9 squared pause this video and see if you can figure that out all right well this is just going to be 0.9 times 0.9 and what's that going to be equal to well you could just say 9 times 9 is going to be equal to 81 and so let's see in the two numbers that i'm multiplying i have a total of one two numbers or two digits to the right of the decimal point so my answer is going to have one two digits to the right of the decimal point so I put the decimal right over there and I'll put the zero so zero point eight one another way to think about it is nine tense of 9/10 is 81 hundredths but there you go using exponents or or taking exponents of decimals it's the same as when we're taking it of integers it's just in this case you just have to do a little bit of a decimal multiplication