Evaluate 7-9+(9-5)^2-4(2+4)/(-5-1)+8-3100

$7 - 9 + {(9 - 5)}^{2} - 4 \cdot \frac{2 + 4}{- 5 - 1} + 8 - 3 \cdot 100$

Step 1

Simplify each term.

Subtract $5$ from $9$ .

$7 - 9 + 4^{2} - 4 \cdot \frac{2 + 4}{- 5 - 1} + 8 - 3 \cdot 100$

Raise $4$ to the power of $2$ .

$7 - 9 + 16 - 4 \cdot \frac{2 + 4}{- 5 - 1} + 8 - 3 \cdot 100$

Add $2$ and $4$ .

$7 - 9 + 16 - 4 \cdot \frac{6}{- 5 - 1} + 8 - 3 \cdot 100$

Subtract $1$ from $- 5$ .

$7 - 9 + 16 - 4 \cdot \frac{6}{- 6} + 8 - 3 \cdot 100$

Cancel the common factor of $2$ .

Factor $2$ out of $- 4$ .

$7 - 9 + 16 + 2 (- 2) \cdot \frac{6}{- 6} + 8 - 3 \cdot 100$

Factor $2$ out of $- 6$ .

$7 - 9 + 16 + 2 \cdot - 2 \cdot \frac{6}{2 \cdot - 3} + 8 - 3 \cdot 100$

Cancel the common factor.

$7 - 9 + 16 + 2 \cdot - 2 \cdot \frac{6}{2 \cdot - 3} + 8 - 3 \cdot 100$

Rewrite the expression.

$7 - 9 + 16 - 2 \cdot \frac{6}{- 3} + 8 - 3 \cdot 100$

Combine $- 2$ and $\frac{6}{- 3}$ .

$7 - 9 + 16 + \frac{- 2 \cdot 6}{- 3} + 8 - 3 \cdot 100$

Multiply $- 2$ by $6$ .

$7 - 9 + 16 + \frac{- 12}{- 3} + 8 - 3 \cdot 100$

Divide $- 12$ by $- 3$ .

$7 - 9 + 16 + 4 + 8 - 3 \cdot 100$

Multiply $- 3$ by $100$ .

$7 - 9 + 16 + 4 + 8 - 300$

Step 2

Simplify by adding and subtracting.

Subtract $9$ from $7$ .

$- 2 + 16 + 4 + 8 - 300$

Add $- 2$ and $16$ .

$14 + 4 + 8 - 300$

Add $14$ and $4$ .

$18 + 8 - 300$

Add $18$ and $8$ .

$26 - 300$

Subtract $300$ from $26$ .

$- 274$

Evaluate 7-9+(9-5)^2-4*(2+4)/(-5-1)+8-3*100