Basic Math Examples

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

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

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of

5

$5$ .

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Step 1.1.1

Factor

5

$5$ out of

{(4 - 1)}^{3} (- 5)

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

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

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

Step 1.1.2

Cancel the common factor.

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

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

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

$- 21600$ .

$- 21627$