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\left(15-2^{4}\right)^{1001}
Multiply 5 and 3 to get 15.
\left(15-16\right)^{1001}
Calculate 2 to the power of 4 and get 16.
\left(-1\right)^{1001}
Subtract 16 from 15 to get -1.
-1
Calculate -1 to the power of 1001 and get -1.