Mathematics

If you had b^(m/n), is it a) nthroot of (b to the mth) b) (nthroot of b) to the mth c) either d) both

I don't get this. Do you take the root first? Or take the power first? (-4)^(2/10). Do you take the tenthroot first? If so, you would run into imaginary numbers right? But if you square it first, then you don't have imaginary numbers? Do you always simplify the fraction? So do you turn it into (-4)^(1/5)? Each yields a different answer. One's imaginary, one's positive, one's negative.

Thought I'd post this for your enjoyment. I thought it was quite nice. Enjoy. dblint.pdf

1. Which triangle has the greatest area? (see the attached image) 2. Arrange the numbers 1 to 9, using each one only once, placing only one number in each cell so that the totals in both directions are the same.(see the attached image) 3. A man and his wife each weigh 50kg. They have two children each weighing 25kg. The whole family to have cross a river in a rowing-boat which can only carry a maximum of 50kg. Every member of the family can row. How can they manage it? 4. Which is bigger and by how much- the sum of all the odd numbers or the sum of all the even numbers from 1 to 100? 5. I multiply a number by 4 and add 9. The result is the same as when I m…

I forgot the formula on how to convert regular polygons into circles. What I mean by this is by plugging the length of an apothem or a side into a formula, and you yield 3.14159... The formula has to have the number of sides too. It shows how if the number of sides increase, the polygon becomes a circle. I believe the formula includes sine if you plug in the side and includes cosine and tangent if you plug in the apothem.

Since the forum really does run the risk of going completely sour if someone doesn't post something in it, I thought I'd try to liven it up a bit. I don't know whether anyone who reads these forums has ever written a maths thesis/paper, but I think it'd be quite interesting to find out whether anyone has any particular areas of mathematics that they're fascinated/interested in, or whether you've ever written any papers/theses/short proofs/whatever on anything. Personally, I'm quite interested in the convergence of infinite series and finding their limits (mainly from all of the work we've been doing on it in Analysis this term). Hope we get some more people replyi…

1. Taking an exact number of strides I can walk 9.49 metres. What is the length of my stride? 2. Make a copy of a triangle like that shown with four circles along each edge. Use the numbers 1 to 9. Put one number in each circle so that the four numbers along each edge add up to the same total. Find two different ways of doing this. <IMG height=238 src="http://www.rashidschoolforboys.sch.ae/pages/Maths%20Website2/photots%20for%20maths/trianlge.JPG" width=266> 3.If you multiply together all of the factors of 100, how many zeros will there be on the end of the answer? 4.In this multiplication problem: ?? x ? = ??? all of the digits have been replaced by…

This week, there's three questions that are all a bit easier than last week's really. This time they're included in a PDF file, so enjoy I'll post the answers in exactly a week's time, and probably a couple of hints too. mathsprobs2.pdf