I am sorry I am at work so its hard to reply to your questions. For number 8 consider this:

 

(n+1)! = n! * (n+1)

now rewrite that expression as

 

((n!) * (n + 1) / n!) - n

 

You can then cancel out the top n! with the bottom n! leaving us with:

n + 1 - n

from there its obvious that the answer is just 1

 

 

 

Ok now that I have time to answer your second question, a variable to a negative power is 1/variable^positive power

 

eg: v^-2 = 1/(v^2)

 

Using that you first add up all exponents, resulting in the condensed expression:

r^(2+2/3) * t^(-1)

 

= r^(8/3) * (1/t)

 

= (r^(8/3)) / t

 

 

If I am unclear or said something stupid I apoligize, I am standing up outside in 100 degree heat on a computer at work l0l

 

It is quite difficult to make proofs in these conditions xD

 

Ty m8y

I explained both the questions fully though over Skype to him

Ty m8y

I explained both the questions fully though over Skype to him

 

Cool cool. Are you currently in uni?

Cool cool. Are you currently in uni?

 

Yeah but my course doesn't have mathematics as difficult like this.

I studied physics and mathematics in highschool and just remembered it from that.

Yeah but my course doesn't have mathematics as difficult like this.

I studied physics and mathematics in highschool and just remembered it from that.

 

As difficult as this? I took courses that covered this stuff a like 2 or 3 years ago. :P

 

What is your major?

As difficult as this? I took courses that covered this stuff a like 2 or 3 years ago.

 

What is your major?

 

When I say as difficult as this I mean this level of complexity.

Personally I don't find it challenging.

My major is Economics and Finance.

When I say as difficult as this I mean this level of complexity.

Personally I don't find it challenging.

My major is Economics and Finance.

 

Oh haha, I was like how is this difficult xD

 

Yea I am computer engineering, if I cant prove some of these things then I dont deserve to graduate. l0l

Oh haha, I was like how is this difficult xD

 

Yea I am computer engineering, if I cant prove some of these things then I dont deserve to graduate. l0l

 

Haahah nice!

Yeah you need quite good Mathematical skills for Comp ang and Comp science

Any desired career?

Haahah nice!

Yeah you need quite good Mathematical skills for Comp ang and Comp science

Any desired career?

 

Well if your asking if I have a dream career, it would be working for Intel or Nvidia. I want to be more on the hardware design side, hence the reason that I picked computer engineering, not software engineering or CS. But I highly doubt that I will ever make it there. xD