what does ^ mean in mathematics?
602701
it means "raised to the power of".\nthat is, 2^3 means "2 raised to the power of 3" or "2 cubed" \n(2^3 = 2*2*2 = 8)\n\nwhile writing, the index is a superscript of the base. In the above example, 3 will be written as the superscript of 2.\nBut when such a representation is not possible, say while typing, a circumflex (^) is used as explained above.
910993
This term is usually used for functions. Suppose a function f is defined in a domain D and has values in a set S. then, the elements of D are usually called independent variables. This name comes from the fact that yiu can change it's values independently.\n\nFor example, consider the function f defined in R by f(x) = x^2. We usually write y = x^2. Here x is the independent variable and y is the dependent one. Because you can choose values for x and y depends on x.
778494
lol\n\nit's just b+1\n\nthat's it....an algabraic expression is an expression that consists of a variable.
306873
It's a fancy 'L' and it stands for pounds = 'libra'(Latin)/'livres' (French).\n'librum' = pound in Latin.
978426
for example:\n\n-1 < 2\nthen\n1 > -2\n\nanother:\n x < -5\nthen\n-x > 5\n\n-2 x > 9\nx< -9/2\n\ns
202690
i dunno if i use it correctly but sometimes when i have to do like, a math project i use it to say for example:\n10 to the 6th power but instead of writing it all out i write:\n10^6 \n\nget me?\nhmm. good luck on finding the answer!
167875
You can do it on Google.  Do a search on: 2^900\nThe ^ means "to the power of" and it is the shift of 6.\nIt will only give you an approximate answer because the exact answer has hundreds of digits.  It would take you many hours to "show the work" and you would probably make many mistakes because there are so many digits to copy.
930900
(6x^) * (x^ +x -12) / (4x^y -12xy) * (3x^ +12x)\n\nif you mean ^ as   x^2 or    x squared\n\n(the number after ^ represents exponent ie. 2x^2 is= 2x squared\n\nthen the answer should be\n\n6x^4 +6x^3 -72x^2 / 12x^4y + 48 x^3y -36x^3y - 144x^2y\n\n2x^2  (3x^2 +3x -36)  /  12x^2y  (x^2 +x -12)\n\n2x^2  (3x  +12) (x -3)  /  12x^2y  (x +4) (x -3)\n\n2x^2  (3x  +12) / 12x^2y (x +4)\n\n(3x +12) / 6y (x+4)\n\n3 (x + 4) / 6y (x +4)\n\n3 / 6y\n\n1 / 2y\n\n0r\n\n0.5y
370054
One reason to use exponents is that you can use rules for exponents for computation.  For example, a square root of x is x raised to the 1/2 power, the fourth root of x is x raised to the 1/4 power.  What is the square root of a number times its fourth root?  It is x raised to the (1/2 + 1/4) power or the fourth root of x cubed.  Radical signs don't allow this type of manipulation.
591100
Why is this in Mathematics?
953975
The domain is [0, pi/4), (pi/4, 3pi/4), (3pi/4, 2pi]\n\nThe range is [-1, -infinity), [1, infinity).\n\nJust in case, [ means "number next to it included" and ( means "number next to it not included." so [a, b) means from a (a included) to b (b not included.)
603558
The division symbol + is a little picture of one number over another that was probably devised for typewriters or type-setting machines because there was no way to type numbers above and below each other.
874890
the degree of the variable is it's power like : A to the power 3\nthen A is a third degree variable....\n                                                                                         bye :)
150867
Your question makes no sense. There is no equal sign. What do you want to solve for? Why so many powers (a^b means a to the power of b)?
826578
"a congruent to b mod H" just means they both have the same remainder when divided by H.  e.g. 12 and 27 mod 5:  each of them when divided by 5 leaves remainder 2.\n\nThe word "arbitrary" means you just make it up or pick it -- it isn't derived by any rule.\n\nabelian means commutative:  i.e. when the operation which is part of the definition of the group is performed on two members, order doesn't matter.  e.g. the set of integers under addition is abelian because \nm + n = n + m, but the set of integers under subtraction (actually I don't think that's even a group!!) isn't abelian because \nm - n is not equal to n - m.\n\nI don't know.  Exactly what symbols do you mean?  Use words if you can't get the symbol on the keyboard.
947549
Even 'tho it's obvious, you really should force yourself to say 'derivative with respect to x' because, later on, it won't be quite so obvious what the derivative is being taken with respect to ☺\n\nFirst of all √(4-x²) = (4-x²)^½.  So\n(d/dx)(4-x²)^½ \n½(4-x²)^(-½) (d/dx)(4-x²) (derivative of an expont)\n½(4-x²)^(-½) [(d/dx) 4 - (d/dx)x²] (derivative of difference)\n½(4-x²)^(-½) [0 - 2x] (derivative of constant and exponent)\n½(4-x²)^(-½) (-2x)  (algebra)\n-x(4-x²)^(-½)  (algebra)\n-x/(4-x²)^½ (algebra)\n1x/√(4-x²) (more algebra ☺)  which is the final answer.\n\nSee why you needed to learn algebra? ☺\n\n\nDoug
868237
x^(1/2).  that's x raised to the 1/2 power.