Finite Math Examples

$- 4^{3} + 4 (- 4^{2}) - 9 \cdot - 4 - 36$

Step 1

Simplify each term.

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Step 1.1

Raise $4$ to the power of $3$ .

$- 1 \cdot 64 + 4 (- 4^{2}) - 9 \cdot - 4 - 36$

Step 1.2

Multiply $- 1$ by $64$ .

$- 64 + 4 (- 4^{2}) - 9 \cdot - 4 - 36$

Step 1.3

Multiply $4$ by $4^{2}$ by adding the exponents.

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Step 1.3.1

Move $4^{2}$ .

$- 64 + 4^{2} \cdot 4 \cdot - 1 - 9 \cdot - 4 - 36$

Step 1.3.2

Multiply $4^{2}$ by $4$ .

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Step 1.3.2.1

Raise $4$ to the power of $1$ .

$- 64 + 4^{2} \cdot 4^{1} \cdot - 1 - 9 \cdot - 4 - 36$

Step 1.3.2.2

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

$- 64 + 4^{2 + 1} \cdot - 1 - 9 \cdot - 4 - 36$

Step 1.3.3

Add $2$ and $1$ .

$- 64 + 4^{3} \cdot - 1 - 9 \cdot - 4 - 36$

Step 1.4

Raise $4$ to the power of $3$ .

$- 64 + 64 \cdot - 1 - 9 \cdot - 4 - 36$

Step 1.5

Multiply $64$ by $- 1$ .

$- 64 - 64 - 9 \cdot - 4 - 36$

Step 1.6

Multiply $- 9$ by $- 4$ .

$- 64 - 64 + 36 - 36$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract $64$ from $- 64$ .

$- 128 + 36 - 36$

Step 2.2

Add $- 128$ and $36$ .

$- 92 - 36$

Step 2.3

Subtract $36$ from $- 92$ .

$- 128$