Final answer:
To simplify the expression ((6a)/(a+7))/((a^(3))/(a^(2)-49)), multiply the numerators and the denominators. The simplified expression is 6a(a^2-49)/(a+7)(a^3).
Step-by-step explanation:
To simplify the expression ((6a)/(a+7))/((a^(3))/(a^(2)-49)), we can use the rule of dividing fractions. First, we invert the second fraction and change the division sign to multiplication. Now, we can multiply the numerators and the denominators. The simplified expression is 6a(a^2-49)/(a+7)(a^3).