Solve 2(-3)^4-(-3)^3+(-3)^2-3(-3)+1

$$2 ( - 3 ) ^ { 4 } - ( - 3 ) ^ { 3 } + ( - 3 ) ^ { 2 } - 3 ( - 3 ) + 1$$

Evaluate

$$208$$

Solution Steps

Calculate -3 to the power of 4 and get 81.

$$2\times 81-\left(-3\right)^{3}+\left(-3\right)^{2}-3\left(-3\right)+1$$

Multiply 2 and 81 to get 162.

$$162-\left(-3\right)^{3}+\left(-3\right)^{2}-3\left(-3\right)+1$$

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

$$162-\left(-27\right)+\left(-3\right)^{2}-3\left(-3\right)+1$$

The opposite of -27 is 27.

$$162+27+\left(-3\right)^{2}-3\left(-3\right)+1$$

Add 162 and 27 to get 189.

$$189+\left(-3\right)^{2}-3\left(-3\right)+1$$

Calculate -3 to the power of 2 and get 9.

$$189+9-3\left(-3\right)+1$$

Add 189 and 9 to get 198.

$$198-3\left(-3\right)+1$$

Multiply 3 and -3 to get -9.

$$198-\left(-9\right)+1$$

The opposite of -9 is 9.

$$198+9+1$$

Add 198 and 9 to get 207.

$$207+1$$

Add 207 and 1 to get 208.

$$208$$

Factor

$$2^{4}\times 13$$