Basic Math Examples

$(- 27) \cdot (- 3) \cdot {(- 3)}^{2} \cdot {(- 3)}^{0}$

Step 1

Multiply $- 3$ by ${(- 3)}^{2}$ by adding the exponents.

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Step 1.1

Move ${(- 3)}^{2}$ .

$- 27 \cdot ({(- 3)}^{2} \cdot - 3) \cdot {(- 3)}^{0}$

Step 1.2

Multiply ${(- 3)}^{2}$ by $- 3$ .

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Step 1.2.1

Raise $- 3$ to the power of $1$ .

$- 27 \cdot ({(- 3)}^{2} \cdot {(- 3)}^{1}) \cdot {(- 3)}^{0}$

Step 1.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$- 27 \cdot {(- 3)}^{2 + 1} \cdot {(- 3)}^{0}$

Step 1.3

Add $2$ and $1$ .

$- 27 \cdot {(- 3)}^{3} \cdot {(- 3)}^{0}$

Step 2

Simplify $- 27 \cdot {(- 3)}^{3} \cdot {(- 3)}^{0}$ .

$- 27 \cdot {(- 3)}^{3}$

Step 3

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

$- 27 \cdot - 27$

Step 4

Multiply $- 27$ by $- 27$ .

$729$