Evaluate 7-1/2(7)^2

$7 - \frac{1}{2} {(7)}^{2}$

Step 1

Simplify each term.

Raise $7$ to the power of $2$ .

$7 - \frac{1}{2} \cdot 49$

Multiply $- \frac{1}{2} \cdot 49$ .

Multiply $49$ by $- 1$ .

$7 - 49 (\frac{1}{2})$

Combine $- 49$ and $\frac{1}{2}$ .

$7 + \frac{- 49}{2}$

Move the negative in front of the fraction.

$7 - \frac{49}{2}$

Step 2

To write $7$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$7 \cdot \frac{2}{2} - \frac{49}{2}$

Step 3

Combine $7$ and $\frac{2}{2}$ .

$\frac{7 \cdot 2}{2} - \frac{49}{2}$

Step 4

Combine the numerators over the common denominator.

$\frac{7 \cdot 2 - 49}{2}$

Step 5

Simplify the numerator.

Multiply $7$ by $2$ .

$\frac{14 - 49}{2}$

Subtract $49$ from $14$ .

$\frac{- 35}{2}$

Step 6

Move the negative in front of the fraction.

$- \frac{35}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{35}{2}$

Decimal Form:

$- 17.5$

Mixed Number Form:

$- 17 \frac{1}{2}$