Simple fractions vs rational expression?
Common, vulgar, or simple fractions[edit] A common fraction (also known as a vulgar fraction or simple fraction) is a rational number written as a/b or , where the integers a and b are called the numerator and the denominator, respectively.[2] The numerator represents a number of equal parts, and the denominator, which cannot be zero, indicates how many of those parts make up a unit or a whole. In the examples 2/5 and 7/3, the slanting line is called a solidus or forward slash. In the examples and , the horizontal line is called a vinculum or, informally, a "fraction bar". http://en.wikipedia.org/wiki/Simple_fraction#Common.2C_vulgar.2C_or_simple_fractions Rational function In mathematics, a rational fraction is a fraction such that both the numerator and the denominator are polynomials. A rational function is any function which can be defined by a rational fraction. The coefficients of the polynomials need not necessarily to be rational numbers, they may be taken in any field K. In this case, one speaks of a rational fraction and a rational fraction over K. The values of the variables may be taken in any field L containing K. Then the domain of the function is the set of the values of the variables for which the denominator is not zero and the codomain is L. For example, a rational fraction in one variable over the rational numbers defines a complex function, which has the complex numbers as domain and codomain. A rational expression is an expression that may be rewritten to a rational fraction by using the properties of the arithmetics operations (commutative properties and associative properties of addition and multiplication, distributive property and rules for the operations on the fractions). In other words, a rational expression is an expression which may be constructed from the variables and the constants by using only the four operations of the arithmetic. http://en.wikipedia.org/wiki/Rational_expression#Abstract_algebra
Simplify the expression: 144^-1/2?
we know that 12 x 12 = 144, aka that 12^2 = 144... sub that in to help simplify (12^2) ^ -1/2 law of exponents; to the power of a power, multiply the exponents 12^ (2 times -1/2) 12^ (-2/2) 12^ -1 law of exponents; to the power of a negative, flip fraction and make power positive (12/1) ^ -1 (1 / 12) ^ 1 1 / 12 can't simplify first
Can someone help i need to use radical notation to rewrite (16x^8)^1/2?
do u mean like that √(16x^8) ? ( =4x^4)
In computer programming, how does a mathematical expression translate to code?
Any mathematical formula is implemented as an algorithm that does exactly what the formula does.Algorithms being step by step instructions allow us to break down even complex formulas into simple steps that together do what the formula does.For example the formula for finding a factorial of number N[math]N! = \prod\limits_{i=1}^n i[/math]To convert this into code we make it first into these steps.Set variable fact = 1Set variable i = 1;While i is less than n or equal to n set [math]fact = fact \times i[/math]Increment i by 1Once that is done it can easily be made into code using the syntax of the programming language we are using.Python example: (for n = 20)n = 20;fact =1;i =1;while i <= n: fact = fact * i i++
I need help with some math questions?
a.150 b.4300 c.-136 d.-24 There's a method of always getting the right answer. It's called PEMDAS. Please Excuse My Dear Aunt Sally: Parenthesis Exponents Multiplication Division Addition Subtraction......It's not hard at all. Just answer left to right when following PEMDAS. Ask your teacher to explain it to you more. But if you still don't understand you could try going to coolmath.com for extra help and tutoring.
Please help with calculus laws of exponents?
4^-3 is the same as 2^-6. 2^-6/2^-8, if you subtract the exponent in the denominator from that in the numerator, leaves you with 2^2, or 4. 1/(cuberoot)x^2 is the same as 1/x^(2/3), or x^(-2/3)
What is the answer for [math]7+7/7+7\times 7-7[/math]?
In mathematics and computer programming, the order of operations (or operator precedence) is a collection of rules that define which procedures to perform first in order to evaluate a given mathematical expression.The order of operations used throughout mathematics, science, technology and many computer programming languages is expressed here:Exponents and RootsMultiplication and DivisionAddition and SubtractionHence, it follows that7 + (7/7) + (7*7) - 7= 7 + 1 + 49 - 7= 50
Math questions?
1) Im assuming this just means multiply, so 2.4^x 2)numerator of fraction is the power of the number under the radical. denominator of fraction is the power of the root. So, 7th root of 4^8 3) 4th root of 16 is 2 2^5=32 4) (2/3)(7b^2/3)=63 (2/3)(b^2/3)=9 b^2/3=13.5 The cube root of b squared is 13.5 The cube root of 2460.375 is 13.5 b squared is 2460.375 b= sqrt of 2460.375 This will need to be simplified under the radical. 5) Repeat the operation $9000*(1.05) Nine times. This will give you your answer Good Luck!