Language of Mathematics II (44): Exponents and Radicals (3 of 3)

Table of contents listing all instructional math videos available from Chycho TV at http://www.chycho.com/?q=math_Table_Contents

List of videos that are available for download at http://www.chycho.com/?q=math_download_chycho

INTRODUCTION:
http://www.chycho.com/?q=Introduction_Instructions

During the last few years the education systems in Canada and the United States have been eroding. Students have been crammed into larger class sizes while the quality of teaching has deteriorated, in large part due to a lack of funding from local and federal governments.

John Ralston Saul, one of Canada's most celebrated authors and essayist, has warned us that "Canada's democracy... is eroding with every dime deducted from education budgets."

I have stated previously that I believe "as a collective we must understand that democracy can only exist in a society with an educated populace, and the right for self-governance can only be obtained through knowledge." I also believe that as long as the Internet remains Neutral, we, as a global community, can make a difference. We can fill the gap left behind by our governments and be proactive in educating our children

Sharing our communal experiences and knowledge is the essence of the Internet and chycho.com is proud to be a part of this movement. The information contained and conveyed through this medium is what will shape our future, and this site was created to represent a unique personal perspective and to contribute in bringing about positive changes.

As a result I have decide to produce instructional math videos to help those that want to improve their abilities in communicating in the language of mathematics. The videos are available on Chycho TV Located in the top right corner of http://www.chycho.com. Even though these videos are geared towards high school students, they will also help those in elementary school and those that are struggling with certain college and university courses.

The format of the videos is as follows: Lessons are in large part self contained and most have exercises which should be completed before proceeding to the next lesson. To help people understand a specific topic I have included answers to the exercises.

During the next few weeks and months, possibly years, I hope to be able to provide a vast library of resources for those that wish to finally understand the language of mathematics.

If there are certain areas that you are having problems with or wish me to discuss further then please send me a message or post a comment at my website. Even though I can not guarantee that I will be able to properly represent a topic I will try my best to produce a lesson if there is strong enough demand for a specific topic.

I hope these videos will help people learn how to communicate in the language that we have chosen to understand the world around us in a scientific manner, in the language of mathematics.

Best

Chycho
http://www.chycho.com/

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Education

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[MAJESTIcag7]

So 27 with an exponent of 2/3 is really saying the 3rd root of 27 squared?So 27 squared is 279 and yeah...the 3rd root of that would be 9...true indeed...but i don't understand why you didn't have to square it first in order to get to the answer rather than just dealing with the 27 as you did...it all works out in the end i guess but i feel like i'm missing a step...

[chychochycho]

one thing you should try and do most of the time is to take the roots first before squaring them, i.e. make the numbers smaller first before making them bigger. So in this case, take the 3rd root of 27 first then square it. Makes it a lot easier.

[MAJESTIcag7]

@chychochycho Ok..so just treat them as seperate operations instead of lumping them together?

[chychochycho]

yup :)

[lojlomica]

Can you explain the flipping further? I understand how to do the process to solve them but I don't get the idea behind why it works.

[chychochycho]

As far as I know it's just terminology. It's like saying that to the power of 3 means you multiply the object by itself 3 times. We had to come up with a way to send something to the denominator, so we said, let's make it a negative power. That's sort of the way i look at it since i don't know the history behind it, but if i do get a chance i'll try and remember to look it up and if it's interesting, i'll make a video of it :)

[Johannady]

eh?? that guy doesn't know radicals?? but he is sooo old...

[lienrodeo]

Thankyou again, your work is a priceless resource!

KNOWLEDGE IS POWER......

[mentor32]

Knowledge is indeed power.Thanx again!