Basic Math Examples

$\frac{800}{5} \cdot ({(4 - 1)}^{3} (- 5)) - 3^{3}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $5$ .

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Step 1.1.1

Factor $5$ out of ${(4 - 1)}^{3} (- 5)$ .

$\frac{800}{5} \cdot (5 ({(4 - 1)}^{3} \cdot (- 1))) - 3^{3}$

Step 1.1.2

Cancel the common factor.

$\frac{800}{5} \cdot (5 ({(4 - 1)}^{3} \cdot (- 1))) - 3^{3}$

Step 1.1.3

Rewrite the expression.

$800 \cdot ({(4 - 1)}^{3} \cdot (- 1)) - 3^{3}$

Step 1.2

Multiply $- 1$ by $800$ .

$- 800 \cdot {(4 - 1)}^{3} - 3^{3}$

Step 1.3

Subtract $1$ from $4$ .

$- 800 \cdot 3^{3} - 3^{3}$

Step 1.4

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

$- 800 \cdot 27 - 3^{3}$

Step 1.5

Multiply $- 800$ by $27$ .

$- 21600 - 3^{3}$

Step 1.6

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

$- 21600 - 1 \cdot 27$

Step 1.7

Multiply $- 1$ by $27$ .

$- 21600 - 27$

Step 2

Subtract $27$ from $- 21600$ .

$- 21627$