Yes, -4x2 is a valid mathematical statement.
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Yes, a coefficient of an exponent can be negative. Negative coefficients indicate the opposite direction or opposite effect of positive coefficients in mathematical expressions.
Take the exponent and multiply it by the coefficient (or 1 if there is no coefficient) then subract 1 from the exponent. For example, the derivative of 2x^3 is 6x^2 If there is no exponent, for example, 2x the derivative is 2 because the exponent is actually 1 which produces the same coefficient and the exponent 0 meaning there is no x.
The coefficient is the number placed before a variable, or variables. As for the exponent: taking the square root of a number is the same as raising it to the power 1/2, so you can consider the exponent to be 1/2. Edit: So coefficient is ./3 and exponent is 1/2
scientific notation tells how many times you will move or add zero either left(positive) or right (negative). exponent tells you how many times you will multiply its coefficient.
coefficient?
negative 4 with negative 3 as an exponent