Solve 4-{(-2)^2*(-3)-[-11+(-3)*(-4)]-(-1)}

$$4 - \{ ( - 2 ) ^ { 2 } \cdot ( - 3 ) - [ - 11 + ( - 3 ) \cdot ( - 4 ) ] - ( - 1 ) \}$$

Evaluate

$$16$$

Solution Steps

Calculate -2 to the power of 2 and get 4.

$$4-\left(4\left(-3\right)-\left(-11-3\left(-4\right)\right)-\left(-1\right)\right)$$

Multiply 4 and -3 to get -12.

$$4-\left(-12-\left(-11-3\left(-4\right)\right)-\left(-1\right)\right)$$

Multiply -3 and -4 to get 12.

$$4-\left(-12-\left(-11+12\right)-\left(-1\right)\right)$$

Add -11 and 12 to get 1.

$$4-\left(-12-1-\left(-1\right)\right)$$

Subtract 1 from -12 to get -13.

$$4-\left(-13-\left(-1\right)\right)$$

The opposite of -1 is 1.

$$4-\left(-13+1\right)$$

Add -13 and 1 to get -12.

$$4-\left(-12\right)$$

The opposite of -12 is 12.

$$4+12$$

Add 4 and 12 to get 16.

$$16$$

Factor

$$2^{4}$$