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-16+\left(3-7\right)^{2}-|2\left(-1\right)^{3}|
Calculate 2 to the power of 4 and get 16.
-16+\left(-4\right)^{2}-|2\left(-1\right)^{3}|
Subtract 7 from 3 to get -4.
-16+16-|2\left(-1\right)^{3}|
Calculate -4 to the power of 2 and get 16.
0-|2\left(-1\right)^{3}|
Add -16 and 16 to get 0.
0-|2\left(-1\right)|
Calculate -1 to the power of 3 and get -1.
0-|-2|
Multiply 2 and -1 to get -2.
0-2
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -2 is 2.
-2
Subtract 2 from 0 to get -2.