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Option B, (3v^16) / (m^4p^6)

Step-by-step explanation:

Step 1:  Simplify

(45m^-6p^2v^12) / (15m^-2p^8v^-4)

45/15 makes 3

m^-6 / m^-2 = m^2 / m^6 = 1 / m^4

p^2 / p^8 = 1 / p^6

v^12 / v^-4 = v^12 + v^4 = v^16

So, now combine

(3*1*1*v^16) / (1*m^4*p^6*1)

(3v^16) / (m^4p^6)

 Option B, (3v^16) / (m^4p^6)

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step-by-step explanation: