Any power & the squares?
928861
if x is odd then\n\nx^n is odd say 2n+1\n\n2n+1 = (n+1)^2 - n^2 \n\nthe it can be done\n\nif x is even then x^n is divisible by 2^n\n\nif n =1 or 2 this is not always true for example\n\n2 is not difference of any 2 squares nor is 4\n\n\nbut for other n it is true\n\n2^n = (a+b)(a-b)\nwe can factor 2^n into 2 distinct even numbers  a+b and a-b from which a and b can be found out.\n\n(if both are not distinct then a-b = a+b or b = 0)
963328
Uh, probably nothin'.  Did you mean 9x^4 + 6x^2 + 1?
731165
You can get them from SparkNotes.  http://www.sparknotes.com/lit/power/\n\n\nHope that helps.
363348
Are we solving for x?
700071
Yes. If you multiply it out it is the same. The square kills off that minus sign because any real number squared is positive.\n\n\nz
73554
ZERO (O)  NO RECTANGLES..\n\n\nCHESS BOARD HAVE ONLY SQUARES..
899014
an expression of the form x^-n can be written as \n    1\n_____\n \n   x^n\n\nwhere ^ implies raised to the power of\n\nSo first square the expression you have given. this gives\n\n  4 x^6 y^-6\n__________\n    \n    9 a^12\n\n\ntake reciprocal of this\n\n      9 a^12\n___________\n\n   4 x^6 y^-6\n\nThis is your answer
746765
It does look like squares of 1,2,3,4,5 so the square of 1 would be 1.
471467
Yes. A square has an order of rotational symmetry of 4. \nThis means that if you were to rotate a square 360 degrees (1 complete revolution) about the intersection of its diagonals, you will get 4 as the number of times it takes on the initial form in terms of position and alignment.
333863
Diagonalisation is the answer here.  Not sure how this didn't turn up in a web search, as I found plenty of resources for it, but the idea is that you find a matrix that diagonalises your initial matrix, and this allows powers to be done trivially.\n\nAssuming you're aiming to get a matrix A to the power n:\n\nFind P such that:\nP^-1 A P = D, where D is diagonal.  Then:\nA = (P D P^-1) and:\nA^n = (P D P^-1)(P D P^-1)(P D P^-1)....\n\nThe P^-1 P terms cancel and you're left with:\nA^n = P D^n P^-1\n\n... and this is much easier to calculate as D^n is trivial :)\n\nA good reference is in the sources.  Hope that helps!
1170609
Completing the square isn't too bad. The first thing I have my students do is identify a, b, and c.\na=1 (this is good, it makes the problem even easier)\nb=-4 (this is VERY good, whenever b is even, it divides by 2, which makes our problem much easier)\nc=-5\n\nNow, the only steps for completing the square are to:\n\n1) Find b\n2) Take half of b\n3) Square that\n4) Add that number to (x^2 - 4x +      ) - 5\n\n1) b= -4\n2) half b is -2\n3) square that is +4\n4) Add that number to (x^2 - 4x + 4) - 5\n\nThe trick now is that you changed the problem by adding +4, so you minus it back out to keep things fair. We now have:\n\n(x^2 - 4x + 4) - 5 - 4 simplify to\n(x^2 - 4x + 4) - 9\n\nNow, we factor (x^2 - 4x + 4), which is easy.\n\nIt will always be (x     )(x     ), and the blank will always be the half b.\n\n(x - 2)(x - 2) - 9\n(x - 2)^2 - 9 = 0  to solve for x...add 9, then square root both sides.\n\n(x - 2) = sqrt (9)\n\n(x - 2) = +3 OR (x - 2) = -3, add 2 to both sides:\n\nx = +3 + 2 OR x = -3 + 2\n\nx = 5, or x = -1\n\nOnce you get the hang of completing the square, it is really easy. Plus, it is really nice because doing so puts your function in whats called vertex form, making it really easy to find the vertex, and then the shape of the graph.\n\nGood luck on the rest!!
137116
i would give you the power.\n& that power will be to give ME 10 points,...maybe
771669
Cause squares would look weird
614677
is #3 squares? bcuz i think thats what my teahcer told m,e today!!
975216
I suppose the power is inversely proportional to the square of the distance. Thus a square meter on Pluto gets 1/1600 as much power as one on Earth, or 1400/1600, 7/8 of a watt.
271058
You mean, short of multipling it by itself? Well... we know that the squar of 500 is 250,000 and the square of 400 is 160,000. So the square of 482 will be somewhere in between, but closer to 250,000. I'd guess 230,000.
144487
the answer is exponents.