Basic Math Examples

$\frac{- {| 22 - 4^{2} |}^{2}}{3 (- 8) + 20}$

Step 1

Simplify the numerator.

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Step 1.1

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

$\frac{- {| 22 - 1 \cdot 16 |}^{2}}{3 (- 8) + 20}$

Step 1.2

Multiply $- 1$ by $16$ .

$\frac{- {| 22 - 16 |}^{2}}{3 (- 8) + 20}$

Step 1.3

Subtract $16$ from $22$ .

$\frac{- {| 6 |}^{2}}{3 (- 8) + 20}$

Step 1.4

The absolute value is the distance between a number and zero. The distance between $0$ and $6$ is $6$ .

$\frac{- 6^{2}}{3 (- 8) + 20}$

Step 1.5

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

$\frac{- 1 \cdot 36}{3 (- 8) + 20}$

Step 2

Simplify the denominator.

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Step 2.1

Multiply $3$ by $- 8$ .

$\frac{- 1 \cdot 36}{- 24 + 20}$

Step 2.2

Add $- 24$ and $20$ .

$\frac{- 1 \cdot 36}{- 4}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $- 1$ by $36$ .

$\frac{- 36}{- 4}$

Step 3.2

Divide $- 36$ by $- 4$ .

$9$