identify the property that is being applied at each step to simplify the expression. 

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4^-5 *(4*9)^5*9^-3=4^-5*(4^5*9^5)*9^-3
=(4^-5*4^5)*(9^5*9^-3
=4^0*9^2
=1*9^2
=9^2
=81