Final answer:
In the expression, '-2x' and '34x' are terms and '-2' and '34' are coefficients. Negative exponents, like in x^-1 = 1/x, mean division or placing the term in the denominator. For division of exponentials, subtract the exponents of like bases and divide the numerical coefficients.
Step-by-step explanation:
The expression given, -2x 34x 5, consists of terms and coefficients to be categorized. Firstly, a term is a single mathematical expression which might be a number, a variable, or the product of numbers and variables. In the given expression, '-2x' and '34x' are terms. Secondly, a coefficient is a number placed before a variable that acts as a multiplier. In the terms mentioned, '-2' and '34' are coefficients for the variable 'x'.
Inverse operations concern expressions with negative powers. For example, x-1 equals 1/x. Considering Eq. A.8 and applying the rule of 'adding the exponents', we learn that 34 times 3-4 equals 34-4, which is 30 equal to 1, since any number raised to the zero power is 1. Hence, 3-4 is equivalent to 1/34, elucidating that negative exponents signify division or flipping the term to the denominator.
For the division of exponentials, we must subtract the exponents when dividing terms of similar bases and divide the coefficient numbers accordingly. This can be seen when dividing terms like 2.56 × 10-38 by 5 × 10-21, which simplifies to 1.024 × 10-18.