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5\times 81+3\times 8^{2}-3^{2}+3
Calculate 9 to the power of 2 and get 81.
405+3\times 8^{2}-3^{2}+3
Multiply 5 and 81 to get 405.
405+3\times 64-3^{2}+3
Calculate 8 to the power of 2 and get 64.
405+192-3^{2}+3
Multiply 3 and 64 to get 192.
597-3^{2}+3
Add 405 and 192 to get 597.
597-9+3
Calculate 3 to the power of 2 and get 9.
588+3
Subtract 9 from 597 to get 588.
591
Add 588 and 3 to get 591.