Simplify: `(3*c^-4*d^5)^2*12*c*d^-4`

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The expression `(3*c^-4*d^5)^2*12*c*d^-4` has to be simplified.

`(3*c^-4*d^5)^2*12*c*d^-4`

Use the following formulas `(x^b)^c = x^(b*c)` , `x^a*x^b = x^(a+b)`

= `3^2*c^(-2*4)*d^(2*5)*12*c*d^-4`

= `9*12*c^(-8 + 1)*d^(2*5 - 4)`

= `108*c^-7*d^6`

The simplified form of the expression `(3*c^-4*d^5)^2*12*c*d^-4` = `108*c^-7*d^6`

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