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bobbym
2013-08-12 08:10:19

Hi;

Glad to help and let me know when you need more.

EbenezerSon
2013-08-12 04:38:43

Candidly speaking, since I started working on indices I haven't seen nor come accros a problem that could produce different bases as your own. As you made 9^(n+2) *3^(n+2) out of 27^(n+2)

Now I think the method that will be applicable to a problem is the one that must be used.

Thank very much Bobbym, God bless you.

bobbym
2013-08-12 04:05:41

All that is correct.

Why didn't you use  3^(3n) * 3^(6) but rather wrote 9^(n+2) * 3^(n+2).

Because it was easier to cancel.

EbenezerSon
2013-08-12 03:56:21

Now I have learnt that! Thanks much Bobbym!

Okay, back to my question.

27^(n+2) =27^n * 27^2 =  3^(3n) * 3^(6)
.

Why didn't you use  3^(3n) * 3^(6) but rather wrote 9^(n+2) * 3^(n+2).

bobbym
2013-08-12 03:34:05

All of that is correct but I have to interpret every bit of it.

When you write 27^n+3 in mathematics that means

It is properly written  27^(n+3) this means

Notice they are both very different.

EbenezerSon
2013-08-12 03:30:07

27^n+2=27^n * 27^2

ThÄ±s is how I mean, I will learn parenthesis in it proper way as you say.

For instance, 6^n+3=6^n * 6^3.

Because, for instance, 3^2 * 3^2=3^(2+2).

What do you say.

bobbym
2013-08-12 03:13:25

You should learn to latex or to use parentheses better.

That modern notation they are using in that book is not good.

EbenezerSon
2013-08-12 03:10:29

In fact I have not seen an indicial problem being split to get different numbers as the base. like what is in #269.

.ThiÅŸ problem is from indices.

bobbym
2013-08-12 03:02:00

I am sorry, I can not follow that. Please bracket it off.

EbenezerSon
2013-08-12 03:00:55

I suppose the base must always be the same in each case. So I percieved it to be,

27^n+2=27^n*27^2=3^3n * 3^3+2.

I had thought should be so.

bobbym
2013-08-12 02:49:48

You can say a = (n+2), same principle.

27^(n+2) = 9^(n+2) * 3^(n+2)

EbenezerSon
2013-08-12 02:48:58

It's 27^n+2, and not 27^a.

bobbym
2013-08-12 02:26:08

27^a = 9^a * 3^a

EbenezerSon
2013-08-12 02:21:11

Please,  I double check it I have edited.

Thanks.

bobbym
2013-08-12 02:10:03

Hi;

I did not get that. Where does 23^n come from?