Final answer:
To simplify the expression ((mn^8)/n^9 )^3, we multiply the exponents and divide the resulting exponents to get m^3 * n^15.
Step-by-step explanation:
To simplify the expression ((mn^8)/n^9 )^3, we can use the rule of exponents which states that when raising a power to another power, we multiply the exponents. In this case, we have (mn^8)^3 = m^3 * (n^8)^3 = m^3 * n^24. Now, to simplify further, we divide n^24 by n^9, which gives us n^(24-9) = n^15. Therefore, the simplified expression is m^3 * n^15.