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#101 2013-07-23 02:08:45

EbenezerSon
Member
Registered: 2013-07-04
Posts: 297

Re: Simplify the following:

27^n+2 - 6*3^3n+3/3^n9^n+2
That is it.

Thanks.


I know only one thing - that is that I know nothing

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#102 2013-07-23 06:39:13

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: Simplify the following:

Okay, so far I have this,where is the mistake?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#103 2013-07-23 06:52:16

EbenezerSon
Member
Registered: 2013-07-04
Posts: 297

Re: Simplify the following:

That's perfect no mistake!


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#104 2013-07-23 06:56:41

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: Simplify the following:

How about doing some factoring there?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#105 2013-07-23 07:03:21

EbenezerSon
Member
Registered: 2013-07-04
Posts: 297

Re: Simplify the following:

It says we should simplify it. But I don't know if it could be factorized. I tried doing it but the six has given me a tough time, it cannot be reduced to have  3 in order to have the same base as the others.


I know only one thing - that is that I know nothing

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#106 2013-07-23 07:08:07

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: Simplify the following:

How about simplifying 27^{3n+3} to start?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#107 2013-07-23 07:15:46

EbenezerSon
Member
Registered: 2013-07-04
Posts: 297

Re: Simplify the following:

Okay,
= 3^3(n+2) = 3^(3n+6). You changed the exponent, please look at the original one above.

Last edited by EbenezerSon (2013-07-23 07:19:10)


I know only one thing - that is that I know nothing

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#108 2013-07-23 07:21:30

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: Simplify the following:

I was thinking of


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#109 2013-07-23 07:26:04

EbenezerSon
Member
Registered: 2013-07-04
Posts: 297

Re: Simplify the following:

At the back of the book the answer given was 21.


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#110 2013-07-23 07:31:13

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: Simplify the following:

That is incorrect. If post #102 is correct the answer I am getting is 7. Please look closely at post #102 and make sure I have the right problem as you see it in your text book.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#111 2013-07-23 07:37:50

EbenezerSon
Member
Registered: 2013-07-04
Posts: 297

Re: Simplify the following:

Yes, they are the ones in the book, the book could be wrong so please let proceed.
I have instances,  I had my calculations correct while it had it wrong.

I will post a question I know I am correct while it has it wrong.

Last edited by EbenezerSon (2013-07-23 07:59:38)


I know only one thing - that is that I know nothing

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#112 2013-07-23 07:52:58

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: Simplify the following:

Hi;

Answer is 7.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#113 2013-07-23 08:12:56

EbenezerSon
Member
Registered: 2013-07-04
Posts: 297

Re: Simplify the following:

But I don't seem to understand those methods


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#114 2013-07-23 08:22:20

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: Simplify the following:

Hi;

They are based on the laws of exponents. As far as I can see that is a tedious problem. There maybe something simpler but I can not see it.

What step is a problem?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#115 2013-07-23 08:35:29

EbenezerSon
Member
Registered: 2013-07-04
Posts: 297

Re: Simplify the following:

This problem is from indices. So I had thought  all the bases would be equal so I can take them off and simplify the exponent.
So I multiplied the six and the three which is eighteen and cannot be reduced to three, so that all the bases would be equall(to be three).


I know only one thing - that is that I know nothing

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#116 2013-07-23 08:40:22

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: Simplify the following:

You mean multiple 6 * 3^(3n+3) ?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#117 2013-07-23 08:42:58

EbenezerSon
Member
Registered: 2013-07-04
Posts: 297

Re: Simplify the following:

Yes to be > 18^(3n+3). But I see the eighteen cannot further be reduced to three, in order to have the same base with the others.


I know only one thing - that is that I know nothing

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#118 2013-07-23 08:45:54

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: Simplify the following:

That is incorrect. You can not say

6 * 3^(3n+3) = 18^(3n+3).

You can always test an idea by substituting some numbers for the variable. Try n = 1 and use a calculator.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#119 2013-07-23 08:48:29

EbenezerSon
Member
Registered: 2013-07-04
Posts: 297

Re: Simplify the following:

Because so far all the problems I solved have the same bases, which is easy for me to take them off and simplify the exponent.

So I thought I could apply that on this problem.


I know only one thing - that is that I know nothing

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#120 2013-07-23 08:53:35

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: Simplify the following:

That is why I turned them all into the same bases, that way you can cancel and multiply when needed.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#121 2013-07-23 08:56:10

EbenezerSon
Member
Registered: 2013-07-04
Posts: 297

Re: Simplify the following:

Then I need to learn the laws of exponents, or do indices also teaches that? If not then please could you assist me learn it?

Thanks for your assistance, God bless!


I know only one thing - that is that I know nothing

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#122 2013-07-23 09:15:25

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: Simplify the following:

Yes, we can over the laws of exponents. Try here first.

Please look at these pages, they will help a lot.

http://www.mathsisfun.com/exponent.html

http://www.mathsisfun.com/algebra/varia … tiply.html

http://www.mathsisfun.com/algebra/exponent-laws.html

Do not worry if you can not absorb it all. It will come in time. Ask questions about anything you do not understand.

I am going to take a little break to do some chores be back later. Please look over those pages in the meantime.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#123 2013-07-23 23:08:47

EbenezerSon
Member
Registered: 2013-07-04
Posts: 297

Re: Simplify the following:

A^n = A*A*A*.....A*

I think it should be impossible in that regard, because it has raised to the n. Meaning n is dividing the A, like n/A.


I know only one thing - that is that I know nothing

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#124 2013-07-23 23:24:34

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,086

Re: Simplify the following:

A^n means A * A * A ... n times.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#125 2013-07-23 23:26:58

EbenezerSon
Member
Registered: 2013-07-04
Posts: 297

Re: Simplify the following:

I have learnt that 5^0 = 1. Can you explain to me why it is equal to one?


I know only one thing - that is that I know nothing

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