Basic Math Examples

$\frac{{(- 8)}^{3} + 132}{10 (2 - 6) - 4 (6 + 3)}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $- 8$ to the power of $3$ .

$\frac{- 512 + 132}{10 (2 - 6) - 4 (6 + 3)}$

Step 1.2

Add $- 512$ and $132$ .

$\frac{- 380}{10 (2 - 6) - 4 (6 + 3)}$

Step 2

Simplify the denominator.

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Step 2.1

Subtract $6$ from $2$ .

$\frac{- 380}{10 \cdot - 4 - 4 (6 + 3)}$

Step 2.2

Multiply $10$ by $- 4$ .

$\frac{- 380}{- 40 - 4 (6 + 3)}$

Step 2.3

Add $6$ and $3$ .

$\frac{- 380}{- 40 - 4 \cdot 9}$

Step 2.4

Multiply $- 4$ by $9$ .

$\frac{- 380}{- 40 - 36}$

Step 2.5

Subtract $36$ from $- 40$ .

$\frac{- 380}{- 76}$

Step 3

Divide $- 380$ by $- 76$ .

$5$