Math Forum / Mathematics / Algebra Help / June 2007

Hi..
    i need to solve this ..  (10)1/5  (its 10 to the power 1/5)...the
answer for this is 1.585
I need to know how we reach this answer.... Thanks !!

I have a lemma stating that a composition series (G_i) of group G is
Jordan-Hölder composition series if and only if factors G_i/G_{i+1}
are simple. The proof starts by noticing that if some G_i/G_{i+1} is
not simple then it has a non-trivial subgroup H'. Further H' can be

Hello Group, I require some assistance getting started on this proof.
I have no idea where to begin.
The problem asks: "Suppose that A and B are square matrices and that
AB is invertible.  Prove that A and B are invertible."

Hello Group, I require a bit of assistance with two homework problems.
The first question is:
Find a homogeneous system whose solution set is spanned by: {u1, u2,
u3} = { (1,2,0,3), (1,-1,-1,4), (2,-1,-3,9) }

Thank you again for help with my previous 2 questions.
Here's another.
PROBLEM
For Problems 25 to 27, convert the following:

PROBLEM
For Problems 25 to 27, convert the following:
27. g. 7800 m to yards
MY WORK

THE PROBLEM
22. Perform the following operations and express your answer in engineering
noation:
d. ((0.000027)^(1/3))/(210,000)

GENERAL INFO
I am reading a book entitled Introductory Circuit Analysis, copyright 1997
by Robert L. Boylestad, 8th edition.  I am not currently taking a course,
but I found this book in a nursing home activities lounge where I was

Can anyone please help me out?  I got finals tomorrow and I need to
remember this.
I need the standard form of all the conics.
I know circles are (x-a)^2+(y-b)^2=r^2

I'm informed that for an integer n, you get, with large values of n a normal
distribution (skewed?) of numbers of squarefree prime factors, and
apparently the relative proportions of the distribution become stabilized
with ascending value of n, the peak being log(log(n)).

Take a set X and define
Z^X = {a | a:X -> Z}
to be the set of all functions from X to integers. Now Z^X with action
(a+b)(x) = a(x) + b(x), a,b in Z^X, x in X

Please, how do I solve a puzzle like this....also how can I write more
of these puzzles?...Is there a formula?
5 elephants + 3 pigs = 26
4 elephants + 2 camels = 28