Final answer:
To divide the given expressions 7x^3/3 and 14x^2/6, divide the coefficients and subtract the exponents of the variables. The simplified expression is 1/2x.
Step-by-step explanation:
To perform the indicated operation, 7x^3/3 divided by 14x^2/6, we can simplify the expression by dividing the coefficients and subtracting the exponents of the variables.
First, divide 7 by 14 to get 1/2 as the coefficient. Then, subtract the exponent of x in the denominator (2) from the exponent of x in the numerator (3), resulting in x^(3-2) = x. The final simplified expression is 1/2x.