Understanding Exponents and Their Operations

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We've been looking at the four basic arithmetic operations for some time now, but now we have to learn a new one. Just the way that multiplication is repeated addition, exponentiation is repeated multiplication. Check this out to see what I mean!

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i love how you show how the rules make sense instead of just saying "these are the rules" like my teachers did

starjumperrr
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I'm 30 and have gone through several maths, (though its been several years) and this is still one of the best explanations I've seen .
Thanks prof. Dave!

Risk-on
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6:38 By cancel, him means that the X's divide by each other, and a number or term divide by itself is equal to 1. I dont know why i struggled with understanding that, but hopefully i helped someone

tramarthomas
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Gee thanks, at 75 years old I have relearnt exponents in a few minutes. Now I can attempt MindYourDecisions' probelms

jefflewis
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As complicated as this seems to me, it's very much better understood now that you explained it to me and I will practice this until I have it down just right. Thank you for your generosity, you are truly changing people's lives with your knowledge and I am very grateful for it!❤

fragglyone
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This is a revelation to me. I knew that negative exponents were inverse but now it actually makes sense as to why that is..

ljr
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What an interesting legend 🤔 quintillion of rice which could cover the entire India by 1 meter, many families wouldn’t have a problem with food if that was the case. I never thought that I could enjoy Mathematics as much as I learn from you... I strangely feel joy from doing mathematics even if there was mistakes in my calculation. It seems like school doesn’t really offer too much joy in learning towards these amazing concepts. All of them are just full of serious calculations like it was depending on their honor and dignity like what the hell hahaha. Thanks for the lesson as always Professor Dave!

yuinurahilyon
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now I know why negative exponents are equal to 1 divided by base to the power, i love how you explain what, and why about the rules

PalasBrown
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Dave, nice job. I started with a interest in bacteria and watched those, good job. I did some digging and find you also have mathematics videos, quite complete too. Impressive. I like your brief yet direct to the point style. I will share these at every opportunity. Good job, I wish you the best and thank you.

larrykent
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Thanks professor Dave! Doing my last GED test today. Didn’t pass math test in first try. You’re videos are helping me remember the things I’ve forgotten from math class at a much faster rate then I learned it originally

christinasmith
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I enjoy the infinite bliss and enjoyment your face expresses in every lesson. Thank you...

davidzubiria
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Great videos, thank you for helping me understand math, I can't wait till I can do linear algebra 😂

LC-yvey
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With this video, you entered Middle school Math from Primary school Math. 😁👏

jayw
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Thank you so much mr. Dave this helps me in many ways possible

rinyeongi
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What is 0^0?

a) 1
b) Undefined

Check Wolfram, your calculator, google calc and Operation system calc (for example windows) to take a look at the results.

nezzr
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Thx for the beautiful session professor Dave!

Jasmita-
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Dude half of this video is things my school refuses to cover... I'm in high school

demetriushiscox
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I got this far and math is starting to make sense o.O

InverseBasement
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i just so happen to have trouble with 7's and 9's. thx for the mental exercise!

alyxkrieger
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I always knew that home/self study will work to me no communication barrier

IrinaBautista.