multiply
Yes. When you divide one variable with an exponent from another, you subtract the exponents
Addition and subtraction: add (or subtract) the real parts, then add (or subtract) the imaginary parts. Multiplication: treat just like multiplying binomials (like with a variable x).After multiplying, convert any i² terms to -1.Division: multiply both numerator and denominator by its conjugate, which will make the denominator a real, then divide real part by denominator, and then divide imaginary part by denominator.
That is the correct spelling of "exponent" (an advocate, or the numerical power to which a number or variable is raised)
XnThat is an exponent.
multiply
Yes. When you divide one variable with an exponent from another, you subtract the exponents
Addition and subtraction: add (or subtract) the real parts, then add (or subtract) the imaginary parts. Multiplication: treat just like multiplying binomials (like with a variable x).After multiplying, convert any i² terms to -1.Division: multiply both numerator and denominator by its conjugate, which will make the denominator a real, then divide real part by denominator, and then divide imaginary part by denominator.
Yes. If we don't see an exponent, the exponent is understood to be one. Just like if we don't see a sign, the sign is assumed to be positive. This in no way constricts or limits the variable. The variable can still be anything at all. But assumptions like this are part of mathematics. How tedious would it be to have to write "x1" for each x? In any case, x1 = x so it is almost pointless.Yes, because if the variable (hypothetically speaking) is 1 (and it can be any number in the world, but 1 is an example), and the exponent (power) is 1, there is only one number to multiply, therefore, the number can only be by itself. If it is squared (to the second power) then you multiply the variable against itself (in this case, 1 X 1), but if the variable doesn't have an exponent, it is assumed to be to the power of one. Take the number 2, for example. If 2 is the variable, x, and x is alone, and you multiply how big the number is of the exponent, and because there is none, it is to the first power.X squared looks like this: x X xX (a.k.a. x to the first power) looks like this: xIf there is no exponent, you only multiply what is there, which there is only one variable, so it is assumed to be to the first power. If it were squared, or to the second power as demonstrated above, you would multiply x by itself. If you count the variables in the equation, x squared has two x's, while x alone has only one x in the equation. Because there is only one x, and the exponent represents how many of that number (in this case, x) you multiply by itself, x is assumed to be to the first power, or to the power of one.
the variable's exponent
No. An expression can have a variable exponent (for instance, 2 to the power x, or x to the power y), but that is no longer a polynomial.
Whenever you see a variable (letter) without any exponent, it's exponent is 1.
An exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. In the expression 4x^2 (four x squared) the four is the coefficient and the 2 is the exponent.
Yes.
That is the correct spelling of "exponent" (an advocate, or the numerical power to which a number or variable is raised)
Depends on the problem.
An expression is non polynomial if it has : negative exponent fractional exponent variable exponent in the radicand