Q: Why can't polynomials have negative exponents?

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You keep them the same if they have different bases

why the exponents can not be negative

When multiplying numbers with exponents, you add the exponents.

property of negative exponents

Positive exponents: an = a*a*a*...*a where there are n (>0) lots of a. Negative exponents: a-n = 1/(a*a*a*...*a) where there are n (>0) lots of a.

Related questions

The definition for polynomials is very restrictive. This is because it will give more information. It excludes radicals, negative exponents, and fractional exponents. When these are included, the expression becomes rational and not polynomial.

Yes.

Polynomials are the simplest class of mathematical expressions. The expression is constructed from variables and constants, using only the operations of addition, subtraction, multiplication and non-negative integer exponents.

descending

You keep them the same if they have different bases

descending form

Add them up providing that the bases are the same.

No.

If a term consists of one or more of: a numerical coefficientnon-negative integer exponents of variable(s),then it is a term of a polynomial. If a term consists of one or more of: a numerical coefficientnon-negative integer exponents of variable(s),then it is a term of a polynomial. If a term consists of one or more of: a numerical coefficientnon-negative integer exponents of variable(s),then it is a term of a polynomial. If a term consists of one or more of: a numerical coefficientnon-negative integer exponents of variable(s),then it is a term of a polynomial.

You can have negative exponents anywhere. When they are in the denominator, they are equivalent to positive exponents in the numerator of a fraction.

Polynomials cannot have negative exponent.

Nothing. The exponents are not affected when added polynomials. However, they play a role in which variables add or subtract another variable. For example. (3x^2+5x-6)+(4x^2-3x+4) The exponents would determine that when adding these polynomials that 3x^2 would be added to 4x^2 and so forth 5x-3x and finally -6 would be added to 4. With a final conclusion of (7x^2+2x-2)