[tex](\frac{4m^5n^2}{m^2n})^3 = (\frac{4m^5n^2}{m^2n})(\frac{4m^5n^2}{m^2n})(\frac{4m^5n^2}{m^2n})[/tex]
---Essentially, we're taking the given expression and multiplying it by itself three times. So, we can solve the problem by multiplying fractions or simply distributing the 3 to each term. Remember, we will be multiplying the existing exponents by the 3, not adding 3.
[4^3 m^15 n^6] / [m^6 n^3]
---Now, we need to simplify the expression. Since there are 15 m's on the top, and 6 m's on the bottom, we can take 15 - 6 to now have only 9 m's on the top.
64 m^9 n^3
Answer: A
Hope this helps!
