Pre-Algebra Examples

$4^{2} - 3 {(- 3)}^{2} + 2 (4) (- 3)$

Step 1

Simplify each term.

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Step 1.1

Raise $4$ to the power of $2$ .

$16 - 3 {(- 3)}^{2} + 2 (4) (- 3)$

Step 1.2

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

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Step 1.2.1

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

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Step 1.2.1.1

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

$16 + {(- 3)}^{1} {(- 3)}^{2} + 2 (4) (- 3)$

Step 1.2.1.2

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

$16 + {(- 3)}^{1 + 2} + 2 (4) (- 3)$

Step 1.2.2

Add $1$ and $2$ .

$16 + {(- 3)}^{3} + 2 (4) (- 3)$

Step 1.3

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

$16 - 27 + 2 (4) (- 3)$

Step 1.4

Multiply $2 (4) (- 3)$ .

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Step 1.4.1

Multiply $2$ by $4$ .

$16 - 27 + 8 \cdot - 3$

Step 1.4.2

Multiply $8$ by $- 3$ .

$16 - 27 - 24$

Step 2

Simplify by subtracting numbers.

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Step 2.1

Subtract $27$ from $16$ .

$- 11 - 24$

Step 2.2

Subtract $24$ from $- 11$ .

$- 35$