Solve 4-3^2--3^3+-2^2-2^3

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

Evaluate

$$18$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$4-9-\left(-3\right)^{3}+\left(-2\right)^{2}-2^{3}$$

Subtract 9 from 4 to get -5.

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

Calculate -3 to the power of 3 and get -27.

$$-5-\left(-27\right)+\left(-2\right)^{2}-2^{3}$$

The opposite of -27 is 27.

$$-5+27+\left(-2\right)^{2}-2^{3}$$

Add -5 and 27 to get 22.

$$22+\left(-2\right)^{2}-2^{3}$$

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

$$22+4-2^{3}$$

Add 22 and 4 to get 26.

$$26-2^{3}$$

Calculate 2 to the power of 3 and get 8.

$$26-8$$

Subtract 8 from 26 to get 18.

$$18$$

Factor

$$2\times 3^{2}$$