Simplify the following:

EbenezerSon · 2013-07-23 02:08:45

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

Thanks.

bobbym · 2013-07-23 06:39:13

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

EbenezerSon · 2013-07-23 06:52:16

That's perfect no mistake!

bobbym · 2013-07-23 06:56:41

How about doing some factoring there?

EbenezerSon · 2013-07-23 07:03:21

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.

bobbym · 2013-07-23 07:08:07

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

EbenezerSon · 2013-07-23 07:15:46

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)

bobbym · 2013-07-23 07:21:30

I was thinking of

EbenezerSon · 2013-07-23 07:26:04

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

bobbym · 2013-07-23 07:31:13

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.

EbenezerSon · 2013-07-23 07:37:50

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)

bobbym · 2013-07-23 07:52:58

Hi;

Answer is 7.

EbenezerSon · 2013-07-23 08:12:56

But I don't seem to understand those methods

bobbym · 2013-07-23 08:22:20

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?

EbenezerSon · 2013-07-23 08:35:29

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).

bobbym · 2013-07-23 08:40:22

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

EbenezerSon · 2013-07-23 08:42:58

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.

bobbym · 2013-07-23 08:45:54

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.

EbenezerSon · 2013-07-23 08:48:29

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.

bobbym · 2013-07-23 08:53:35

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

EbenezerSon · 2013-07-23 08:56:10

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!

bobbym · 2013-07-23 09:15:25

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.

EbenezerSon · 2013-07-23 23:08:47

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.

bobbym · 2013-07-23 23:24:34

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

EbenezerSon · 2013-07-23 23:26:58

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

Math Is Fun Forum

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

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

Re: Simplify the following:

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

Re: Simplify the following:

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

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

Re: Simplify the following:

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

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

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

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

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

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

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

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

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

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

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

Re: Simplify the following:

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

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

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

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

Re: Simplify the following:

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