Algebra Examples

$6 (- 1) - 4 {(- 1)}^{2} - 7 {(- 1)}^{3} + 9 {(- 1)}^{2} - 5 \cdot - 1$

Step 1

Simplify each term.

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Step 1.1

Multiply $6$ by $- 1$ .

$- 6 - 4 {(- 1)}^{2} - 7 {(- 1)}^{3} + 9 {(- 1)}^{2} - 5 \cdot - 1$

Step 1.2

Raise $- 1$ to the power of $2$ .

$- 6 - 4 \cdot 1 - 7 {(- 1)}^{3} + 9 {(- 1)}^{2} - 5 \cdot - 1$

Step 1.3

Multiply $- 4$ by $1$ .

$- 6 - 4 - 7 {(- 1)}^{3} + 9 {(- 1)}^{2} - 5 \cdot - 1$

Step 1.4

Raise $- 1$ to the power of $3$ .

$- 6 - 4 - 7 \cdot - 1 + 9 {(- 1)}^{2} - 5 \cdot - 1$

Step 1.5

Multiply $- 7$ by $- 1$ .

$- 6 - 4 + 7 + 9 {(- 1)}^{2} - 5 \cdot - 1$

Step 1.6

Raise $- 1$ to the power of $2$ .

$- 6 - 4 + 7 + 9 \cdot 1 - 5 \cdot - 1$

Step 1.7

Multiply $9$ by $1$ .

$- 6 - 4 + 7 + 9 - 5 \cdot - 1$

Step 1.8

Multiply $- 5$ by $- 1$ .

$- 6 - 4 + 7 + 9 + 5$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract $4$ from $- 6$ .

$- 10 + 7 + 9 + 5$

Step 2.2

Add $- 10$ and $7$ .

$- 3 + 9 + 5$

Step 2.3

Add $- 3$ and $9$ .

$6 + 5$

Step 2.4

Add $6$ and $5$ .

$11$