Solve {l}{-3(-2+3+6)-[-5(-2)+3(-2-4)]}{-2-2^2-2^3-2^4}

$$\left. \begin{array} { l } { - 3 ( - 2 + 3 + 6 ) - [ - 5 ( - 2 ) + 3 ( - 2 - 4 ) ] } \\ { - 2 - 2 ^ { 2 } - 2 ^ { 3 } - 2 ^ { 4 } } \end{array} \right.$$

Evaluate

$$-43$$

Solution Steps

Add -2 and 3 to get 1.

$$-3\left(1+6\right)-\left(-5\left(-2\right)+3\left(-2-4\right)\right)-2-2^{2}-2^{3}-2^{4}$$

Add 1 and 6 to get 7.

$$-3\times 7-\left(-5\left(-2\right)+3\left(-2-4\right)\right)-2-2^{2}-2^{3}-2^{4}$$

Multiply -3 and 7 to get -21.

$$-21-\left(-5\left(-2\right)+3\left(-2-4\right)\right)-2-2^{2}-2^{3}-2^{4}$$

Multiply -5 and -2 to get 10.

$$-21-\left(10+3\left(-2-4\right)\right)-2-2^{2}-2^{3}-2^{4}$$

Subtract 4 from -2 to get -6.

$$-21-\left(10+3\left(-6\right)\right)-2-2^{2}-2^{3}-2^{4}$$

Multiply 3 and -6 to get -18.

$$-21-\left(10-18\right)-2-2^{2}-2^{3}-2^{4}$$

Subtract 18 from 10 to get -8.

$$-21-\left(-8\right)-2-2^{2}-2^{3}-2^{4}$$

The opposite of -8 is 8.

$$-21+8-2-2^{2}-2^{3}-2^{4}$$

Add -21 and 8 to get -13.

$$-13-2-2^{2}-2^{3}-2^{4}$$

Subtract 2 from -13 to get -15.

$$-15-2^{2}-2^{3}-2^{4}$$

Calculate 2 to the power of 2 and get 4.

$$-15-4-2^{3}-2^{4}$$

Subtract 4 from -15 to get -19.

$$-19-2^{3}-2^{4}$$

Calculate 2 to the power of 3 and get 8.

$$-19-8-2^{4}$$

Subtract 8 from -19 to get -27.

$$-27-2^{4}$$

Calculate 2 to the power of 4 and get 16.

$$-27-16$$

Subtract 16 from -27 to get -43.

$$-43$$

Factor

$$-43$$