Final answer:
To simplify the quotient (14)/(k+6)-:(4)/(k+4), multiply the fractions together and cancel out any common factors to get the simplified form of 7/2.
Step-by-step explanation:
To simplify the quotient (14)/(k+6)-:(4)/(k+4), we can rewrite it as (14)/(k+6) * (k+4)/(4). Next, we can cancel out any common factors between the numerator and the denominator. In this case, (k+4) can be cancelled out. Therefore, the simplified form of the quotient is 14/4, which is equal to 7/2.