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\left(32+12\right)\times 2-8^{2}\times 1^{100}+1
Calculate 2 to the power of 5 and get 32.
44\times 2-8^{2}\times 1^{100}+1
Add 32 and 12 to get 44.
88-8^{2}\times 1^{100}+1
Multiply 44 and 2 to get 88.
88-64\times 1^{100}+1
Calculate 8 to the power of 2 and get 64.
88-64\times 1+1
Calculate 1 to the power of 100 and get 1.
88-64+1
Multiply 64 and 1 to get 64.
24+1
Subtract 64 from 88 to get 24.
25
Add 24 and 1 to get 25.