Melody

You are expected to set up the inequality and then solve it.

What have you already done to at least start this problem?

You can make your own collection of troll posts if you want to Elijah.

Just start a new thread called 'Elijah's collection of troll posts" 

This will be saved in your own Watchlist.

Then you can slowly add posts with the address of the threads that you want to save.  :)

\(99^0*99^1*99^2* .....*99^{99}\\ =99^{0+1+2+3+4+...99}\\ =99^{\text{an even number}}\)

99^1=99

99^2=9801

99^3=ends in 99

99^4 ... ends in 01

etc

99 ^ (any even positive integer) will end in 01

I agree with one five and seven but I think you forgot 11

normally I would not answer a question presented like this either. 

But

I am curious to see what this looked like, I have not seen the big command before.

\(\Big(x^2+\frac{1}{x}\Big)^4\)

 general term

\(\binom{4}{n}(\frac{1}{x})^n(x^2)^{4-n}\\ =\binom{4}{n}(x)^{-n}(x)^{8-2n}\\ =\binom{4}{n}(x)^{8-3n}\\\)

n must be 0,1,2,3 or 4         so       8-3n cannot be zero

Hence there is no constant term.

Impressive presentation mworkhard222  !!!

Just playing with numbers, here is another way.

 287 * 326

                [ 3*326 = 900+60+18 = 978]

= 300*326-10*326-3*326 

=  97800 - 978 - 3260

= 94800 - 978 - 260

= 83700 - 78 - 60

= 83700 - 138

= 83700 - 200+62

=83562

What is the largest integer n such that 3^n is a factor of 1 * 3 * 5 * ... * 97 * 99 * 101 * 103 * ... * 197 * 199?

199/3 = 66.3333333333333333

199/9 = 22.1111111111111111

199/27 = 7.3703703703703704

199/81 = 2.4567901234567901

66+22+7+2 = 97

That is what I think.

Hi Hipie,

\(\displaystyle \int_{0}^{3} x^2 dx\\~\\ =\left[ \frac{x^3}{3} \right]_0^3=\frac{3^3}{3}-0=9u^2 \)

Yes it is 9. 

I like this post you have just written Ginger.

However, I think it would be a bit hard to justify putting the whole thread into the sticky note list.

I don't think many people look at the sticky notes anyway.  

Pity, there is some good posts in there.

I at least refer to some of them.... Mostly the 'reference material'.

Very occasionally someone will reference one or more of them, that always does impress and please me.   

Just as well we have you to keep track of our posts, especially our more contraversial posts.  You can always pull them from the archives upon command.

And now my mind has taken me to a elsewhere,  :)

Enjoy.

Yep, 

LaTex is really cool!   

But it was playing up for me today and not displaying properly