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(81/16)–3/4×[(25/9)-3/2÷(5/2)-3]
=(3 is to power 4/2 is to power 4)×(5²/3²)-3/2÷(5/2)-3
=(3/4)4×-3/4×(5/2)²×-3/4÷(5/2)-3
=(3/4)-3×(5/3)-3÷(5/2)-3
=-9×-15/3÷-15/2
=-3×-15×-2/15
=-3×-1×-2
=-6
=(3 is to power 4/2 is to power 4)×(5²/3²)-3/2÷(5/2)-3
=(3/4)4×-3/4×(5/2)²×-3/4÷(5/2)-3
=(3/4)-3×(5/3)-3÷(5/2)-3
=-9×-15/3÷-15/2
=-3×-15×-2/15
=-3×-1×-2
=-6
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