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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 466

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: 87,258

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 466

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: 87,258

Re: Simplify the following:

How about doing some factoring there?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 466

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: 87,258

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 466

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: 87,258

Re: Simplify the following:

I was thinking of


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 466

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: 87,258

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 466

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: 87,258

Re: Simplify the following:

Hi;

Answer is 7.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 466

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: 87,258

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 466

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: 87,258

Re: Simplify the following:

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


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 466

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: 87,258

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 466

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: 87,258

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 466

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: 87,258

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 466

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: 87,258

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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

EbenezerSon
Member
Registered: 2013-07-04
Posts: 466

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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