Solve 2-2^4+11-2^3+15-2^2-8(-2)-20

$$2 { -2 }^{ 4 } +11 { -2 }^{ 3 } +15 { -2 }^{ 2 } -8(-2)-20$$

Evaluate

$$0$$

Solution Steps

Calculate -2 to the power of 4 and get 16.

$$2\times 16+11\left(-2\right)^{3}+15\left(-2\right)^{2}-8\left(-2\right)-20$$

Multiply 2 and 16 to get 32.

$$32+11\left(-2\right)^{3}+15\left(-2\right)^{2}-8\left(-2\right)-20$$

Calculate -2 to the power of 3 and get -8.

$$32+11\left(-8\right)+15\left(-2\right)^{2}-8\left(-2\right)-20$$

Multiply 11 and -8 to get -88.

$$32-88+15\left(-2\right)^{2}-8\left(-2\right)-20$$

Subtract 88 from 32 to get -56.

$$-56+15\left(-2\right)^{2}-8\left(-2\right)-20$$

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

$$-56+15\times 4-8\left(-2\right)-20$$

Multiply 15 and 4 to get 60.

$$-56+60-8\left(-2\right)-20$$

Add -56 and 60 to get 4.

$$4-8\left(-2\right)-20$$

Multiply 8 and -2 to get -16.

$$4-\left(-16\right)-20$$

The opposite of -16 is 16.

$$4+16-20$$

Add 4 and 16 to get 20.

$$20-20$$

Subtract 20 from 20 to get 0.

$$0$$

Factor

$$0$$