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|1-4\left(-1\right)+3|
Calculate -1 to the power of 2 and get 1.
|1-\left(-4\right)+3|
Multiply 4 and -1 to get -4.
|1+4+3|
The opposite of -4 is 4.
|5+3|
Add 1 and 4 to get 5.
|8|
Add 5 and 3 to get 8.
8
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 8 is 8.