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(-3 w^2)^3 / v^4

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These all use the power rule property of (m^n)a = ma*n.  For instance, (w2)3 = w2*3 = w6.  This works because w2 is the same as (w * w). 

(w2)3 = (w2 * w2 * w2) = [(w * w) * (w * w) * (w * w)] = w6.

Go ahead and apply this template to your other problems.  It should help you connect the dots from there.