Evaluate (-3)^4+8(-3)^3+18(-3)^2+4

${(- 3)}^{4} + 8 {(- 3)}^{3} + 18 {(- 3)}^{2} + 4$

Step 1

Simplify each term.

Raise $- 3$ to the power of $4$ .

$81 + 8 {(- 3)}^{3} + 18 {(- 3)}^{2} + 4$

Raise $- 3$ to the power of $3$ .

$81 + 8 \cdot - 27 + 18 {(- 3)}^{2} + 4$

Multiply $8$ by $- 27$ .

$81 - 216 + 18 {(- 3)}^{2} + 4$

Raise $- 3$ to the power of $2$ .

$81 - 216 + 18 \cdot 9 + 4$

Multiply $18$ by $9$ .

$81 - 216 + 162 + 4$

Step 2

Simplify by adding and subtracting.

Subtract $216$ from $81$ .

$- 135 + 162 + 4$

Add $- 135$ and $162$ .

$27 + 4$

Add $27$ and $4$ .

$31$