My Math Forum Hello - quick bit of number manipulation !

 Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion

June 27th, 2016, 09:02 AM   #1
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From: London

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Hello - quick bit of number manipulation !

Hi there,

I have attached a question.

It's the first part of the question I'm on. (3/2)*^4sqrt(72^(1/4))

I got it down to 3/2 * 2^(3/4) * 3^(1/2)

but I don't know how to get rid of the initial fraction.

I know the answer is 2^(-1/4) * 3^(3/2)

I hope I wrote that out right.

Can some one explain how to go from where I am, to the solution??

Any help would be great, thanks.
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Last edited by skipjack; June 27th, 2016 at 10:19 PM.

June 27th, 2016, 10:21 AM   #2
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Joined: May 2016
From: USA

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Quote:
 Originally Posted by Ultinator Hi there, I have attached a question. It's the first part of the question I'm on. (3/2)*^4sqrt(72^(1/4)) I got it down to 3/2 * 2^(3/4) * 3^(1/2) but I don't know how to get rid of the initial fraction. I know the answer is 2^(-1/4) * 3^(3/2) I hope I wrote that out right. Can some one explain how to go from where I am, to the solution?? Any help would be great, thanks.
Expressing it correctly would be a start

$\dfrac{3}{2} * \sqrt[4]{72} =$ (3/2) * 72^(1/4).

Anyway

$\dfrac{3}{2} * \sqrt[4]{72} = \dfrac{3}{2} * \sqrt[4]{2^3 * 3^2} = \dfrac{3}{2} * \sqrt[4]{2^3} * \sqrt[4]{3^2} =$

$3^1 * 2^{-1} * 2^{(3/4)} * 3^{(2/4)} = 2^{-(1/4)} * 3^{(3/2)}.$

That's it. You can't take it any further than that in the format specified.

EDIT: This is not number theory. It belongs in elementary algebra. No biggie, but you will get much quicker answers if you post in the correct forum.

Last edited by skipjack; June 27th, 2016 at 10:22 PM.

 June 27th, 2016, 04:32 PM #3 Newbie   Joined: Jun 2016 From: London Posts: 2 Thanks: 0 Yes thanks, I wasn't entirely sure how to represent the equation (if it is in fact that) in the correct manor. May I ask how you get your computer to type it in such a way? I apologise for the amateur-ish question, I'm somewhat unfamiliar with the way of making my computer present the terms in such a way as you have. I also wasn't sure where to post this - hence why I wasn't able to find assistance via google etc. May I ask what exactly that would be referred to as ? Also, by the sounds of it - it's quite a beginner question? Is it reasonable that if I was unsure of how to solve the last parts, I would struggle with more intense maths? Thanks for you help all the same, Kind Regards.
 June 27th, 2016, 05:26 PM #4 Senior Member   Joined: May 2016 From: USA Posts: 1,310 Thanks: 551 It is perfectly acceptable to use "in-line" expressions to ask questions. That format just involves typing in accord with PEMDAS (which I think may be abbreviated BEDMAS in the UK). This site supports LaTeX, which permits formatting in more "professional" format, but I STRONGLY suggest that beginning students not bother with it. It is fussy and distracts a lot from thinking about math. Most tutors use it because it is easier for students to read, but we can deal with in-line format. Your question is on the borderline between arithmetic and "elementary algebra." The term "elementary algebra" is a little misleading: it covers easy topics to fairly difficult ones. It is elementary because it deals with numbers rather than more complicated kinds of mathematical objects such as vectors or matrices. The only reason that I mentioned that this was not the appropriate forum is that you will get quicker answers if you post in the elementary algebra forum. I suspect one question is not going to determine where you are in math. If you are at all unsure, take a course that may be too easy. Math is progressive. If you do not grasp algebra, you will drown in calculus. If a quadratic equation gives you fits, you will tear your hair out over cubic equations.
June 30th, 2016, 05:06 PM   #5
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Joined: Jan 2014
From: The backwoods of Northern Ontario

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Quote:
 May I ask how you get your computer to type it in such a way?
If you want to see what JeffM1 actually typed in, go to his post in which he used LaTeX, and click on the "Quote" symbol.

 June 30th, 2016, 05:32 PM #6 Senior Member   Joined: Jan 2014 From: The backwoods of Northern Ontario Posts: 391 Thanks: 70 Ultinator, here's how to do a couple of easy things in LaTeX: Suppose you want to type 2^3 as $\displaystyle 2^3$. After you click "Reply to Post," do the following: 1. Click the "Go Advanced" button. 2. Type 2^3 3. Highlight 2^3 4. Click the Σ symbol. This will place bracketed MATH before it and [/MATH] after it. 5. Click on Preview Post to see how it will look if you post it. Now suppose you want to type 3/4 as $\displaystyle \frac {3}{4}$ 1. Again make sure you are in the advanced mode 2. Type \frac {3}{4} 3. Highlight it and hit it with the Σ symbol again. 4. Again Preview Post. Last edited by Timios; June 30th, 2016 at 05:39 PM. Reason: Typo

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