Basic Math Examples

$6 \cdot (5 \cdot {(- 1 - 2)}^{2} + {(- 3)}^{3}) + \sqrt[3]{- 27}$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Subtract $2$ from $- 1$ .

$6 \cdot (5 \cdot {(- 3)}^{2} + {(- 3)}^{3}) + \sqrt[3]{- 27}$

Step 1.1.2

Raise $- 3$ to the power of $2$ .

$6 \cdot (5 \cdot 9 + {(- 3)}^{3}) + \sqrt[3]{- 27}$

Step 1.1.3

Multiply $5$ by $9$ .

$6 \cdot (45 + {(- 3)}^{3}) + \sqrt[3]{- 27}$

Step 1.1.4

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

$6 \cdot (45 - 27) + \sqrt[3]{- 27}$

Step 1.2

Subtract $27$ from $45$ .

$6 \cdot 18 + \sqrt[3]{- 27}$

Step 1.3

Multiply $6$ by $18$ .

$108 + \sqrt[3]{- 27}$

Step 1.4

Rewrite $- 27$ as ${(- 3)}^{3}$ .

$108 + \sqrt[3]{{(- 3)}^{3}}$

Step 1.5

Pull terms out from under the radical, assuming real numbers.

$108 - 3$

Step 2

Subtract $3$ from $108$ .

$105$