Not necessarily. Every exponent in the exponent must be a non-negative integer. This is not what you have specified. For example, if n = 3.5, it is not a term in a polynomial expression.
Not necessarily. If the exponent is not an integer then it is not a polynomial.
A polynomial.
(2a3)(10a5)/4a1
Example: (4x)-2 The answer to this would be 1/ 16x2. Multiply it out as if the negative exponent was not there ((4x)2), then that will be the denominator of the fraction. The numerator is one.
It means that it is an exponent, and that it is not a rational number - i.e., one that can be written as a fraction of two integers.
Not necessarily. If the exponent is not an integer then it is not a polynomial.
Yes, the leading coefficient of a polynomial function can be a fraction. A polynomial is defined as a sum of terms, each consisting of a coefficient (which can be any real number, including fractions) multiplied by a variable raised to a non-negative integer power. Thus, the leading coefficient, which is the coefficient of the term with the highest degree, can indeed be a fraction.
Just write ANY fraction, with a polynomial in the numerator, and a polynomial in the denominator.
A numerical or constant quantity placed before and multiplying the variable in an algebraic expression
(Any proper fraction)2 has a value less than 1 .
A polynomial.
A polynomial expression is considered a rational expression when it is expressed as a fraction where both the numerator and the denominator are polynomials. For example, the expression ( \frac{x^2 + 3x + 2}{x - 1} ) is a rational expression because its numerator ( x^2 + 3x + 2 ) and denominator ( x - 1 ) are both polynomials. Rational expressions can be simplified, added, or multiplied, just like rational numbers, provided that the denominator is not zero.
Flip the fraction top-to-bottom, and delete the minus sign from the exponent.
Yes.
No. A polynomial is two or more numbers connected with plus or minus signs.A fraction is just a single number.I guess you could call a fraction a "monomial" if you want to, but definitely nota "polynomial".
I am not entirely sure what your expression looks like. If the "x" appears in the denominator, as in 7/x, then it is NOT a polynomial. Polynomials only have powers of the variables involved that are positive integers.
The reciprocal of a^(-x/y) is 1/a^(x/y). The fact that the exponent is a fraction makes no difference.