Basic Math Examples

$\frac{- 6^{2} + 4^{2}}{28 - | 6 - 9 |}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $6$ to the power of $2$ .

$\frac{- 1 \cdot 36 + 4^{2}}{28 - | 6 - 9 |}$

Step 1.2

Multiply $- 1$ by $36$ .

$\frac{- 36 + 4^{2}}{28 - | 6 - 9 |}$

Step 1.3

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

$\frac{- 36 + 16}{28 - | 6 - 9 |}$

Step 1.4

Add $- 36$ and $16$ .

$\frac{- 20}{28 - | 6 - 9 |}$

Step 2

Simplify the denominator.

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Step 2.1

Subtract $9$ from $6$ .

$\frac{- 20}{28 - | - 3 |}$

Step 2.2

The absolute value is the distance between a number and zero. The distance between $- 3$ and $0$ is $3$ .

$\frac{- 20}{28 - 1 \cdot 3}$

Step 2.3

Multiply $- 1$ by $3$ .

$\frac{- 20}{28 - 3}$

Step 2.4

Subtract $3$ from $28$ .

$\frac{- 20}{25}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Cancel the common factor of $- 20$ and $25$ .

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Step 3.1.1

Factor $5$ out of $- 20$ .

$\frac{5 (- 4)}{25}$

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $5$ out of $25$ .

$\frac{5 \cdot - 4}{5 \cdot 5}$

Step 3.1.2.2

Cancel the common factor.

$\frac{5 \cdot - 4}{5 \cdot 5}$

Step 3.1.2.3

Rewrite the expression.

$\frac{- 4}{5}$

Step 3.2

Move the negative in front of the fraction.

$- \frac{4}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{4}{5}$

Decimal Form:

$- 0.8$