Simplify the expression into positive exponents?

c c

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[ (2m^2p^3)^2 * (4m^2p)^-2 ] / [ (-3mp^4)^-1 * (2m^3p^4)^3 ]

i worked it out on my own and got the answer 3/32m^8p^4 , i just want someone to confirm that i'm doing the right math. if you do get my answer, please show a random step towards the end to prove you actually did the work and aren't just saying "it's right" to get some points. i'm really trying to understand the material.
thanks in advance, it's greatly appreciated.
 
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