Basic Math Examples

$- \frac{{(- 7)}^{2}}{7 (- 4)}$

Step 1

Cancel the common factor of ${(- 7)}^{2}$ and $7$ .

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Step 1.1

Rewrite $- 7$ as $- 1 (7)$ .

$- \frac{{(- 1 (7))}^{2}}{7 (- 4)}$

Step 1.2

Apply the product rule to $- 1 (7)$ .

$- \frac{{(- 1)}^{2} \cdot 7^{2}}{7 (- 4)}$

Step 1.3

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

$- \frac{1 \cdot 7^{2}}{7 (- 4)}$

Step 1.4

Multiply $7^{2}$ by $1$ .

$- \frac{7^{2}}{7 (- 4)}$

Step 1.5

Factor $7$ out of $7^{2}$ .

$- \frac{7 \cdot 7}{7 (- 4)}$

Step 1.6

Cancel the common factors.

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Step 1.6.1

Cancel the common factor.

$- \frac{7 \cdot 7}{7 \cdot - 4}$

Step 1.6.2

Rewrite the expression.

$- \frac{7}{- 4}$

$- \frac{7}{- 4}$

$- \frac{7}{- 4}$

Step 2

Move the negative in front of the fraction.

$- - \frac{7}{4}$

Step 3

Multiply $- - \frac{7}{4}$ .

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Step 3.1

Multiply $- 1$ by $- 1$ .

$1 (\frac{7}{4})$

Step 3.2

Multiply $\frac{7}{4}$ by $1$ .

$\frac{7}{4}$

$\frac{7}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{4}$

Decimal Form:

$1.75$

Mixed Number Form:

$1 \frac{3}{4}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$