Negative exponents are used to represent 1 divided by an a base to a specific exponent.
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Exponents that are NOT a negative exponent therefore they are mostly whole numbers kind of:)
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!
Both are used to make recipecalls.
The same way you divide positive exponents like ( x^-7 ) / ( x^-12) = x^( -7 - - 12) = x^( -7+12) = x^5
You can have negative exponents anywhere. When they are in the denominator, they are equivalent to positive exponents in the numerator of a fraction.
why the exponents can not be negative
When multiplying numbers with exponents, you add the exponents.
by doing reciprocal
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Exponents that are NOT a negative exponent therefore they are mostly whole numbers kind of:)
They are the reciprocals of the positive exponents. Thus, x-a = 1/xa
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.
Exactly that ... negative exponents. For example: 1000 = 103 That is a positive exponent. .001 = 10-3 That is a negative exponent. For positive exponents, you move the decimal place that many positions to the right, adding zeros as needed. For negative exponents, you move the decimal place that many positions to the LEFT, adding zeros as needed. And, the special case is this: 100 = 1.
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.
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!