A negative exponent simply means that the base is on the wrong side of the fraction line.
For example, if you have x-2, you can turn this into a positive exponent by moving the base to the denominator and changing the sign on the exponent. The result would be:
1
--
x2
You can have negative exponents anywhere. When they are in the denominator, they are equivalent to positive exponents in the numerator of a fraction.
An integer exponent is a count of the number of times a particular number (the base) must be multiplied together. For example, for the base x, x^a means x*x*x*...*x where there are a lots of x in the multiplication. The definition is simple to understand for integer values of the exponent. This definition gives rise to the laws of exponents, and these allow this definition to be extended to the case where the exponents are negative, fractions, irrational and even complex numbers.
by doing reciprocal
They are the reciprocals of the positive exponents. Thus, x-a = 1/xa
A negative exponent becomes positive in the reciprocal. So if you have a number a^x where x is negative, then, a^x = 1/(a^-x) and, since x is negative, -x is positive.
property of negative exponents
Monomials can have negative exponents, if the term for the exponent is not a variable, but if it is a variable with a negative exponent, the whole expression will not be classified. This is so because the definition of a monomial states that, a monomial can be a product of a number and one or more variables with positive integer exponents. I hope that answered your question!
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.
You can have negative exponents anywhere. When they are in the denominator, they are equivalent to positive exponents in the numerator of a fraction.
It certainly has a meaning. It is only meaningless if you consider powers as repeated multiplication; but the "extended" definition, for negative and fractional exponents, makes a lot of sense, and it is regularly used in math and science.
Negative exponents are used to represent 1 divided by an a base to a specific exponent.
why the exponents can not be negative
When multiplying numbers with exponents, you add the exponents.
by doing reciprocal
3
An integer exponent is a count of the number of times a particular number (the base) must be multiplied together. For example, for the base x, x^a means x*x*x*...*x where there are a lots of x in the multiplication. The definition is simple to understand for integer values of the exponent. This definition gives rise to the laws of exponents, and these allow this definition to be extended to the case where the exponents are negative, fractions, irrational and even complex numbers.
Exponents that are NOT a negative exponent therefore they are mostly whole numbers kind of:)