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Q: If the coefficient of the expression ax is in fraction and the exponent is positive the expression will be a polynomial?

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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.

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 .

Yes.

Flip the fraction top-to-bottom, and delete the minus sign from the exponent.

A polynomial.

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".

A fraction

It can be either.

The reciprocal of a^(-x/y) is 1/a^(x/y). The fact that the exponent is a fraction makes no difference.

Why not? An exponent is just like any other number.

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