Finite Math Examples

$24 - (2^{3} + 1) \div (3^{3} - 12 \cdot 2)$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$24 - \frac{2^{3} + 1}{3^{3} - 12 \cdot 2}$

Step 1.2

Simplify the numerator.

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Step 1.2.1

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

$24 - \frac{8 + 1}{3^{3} - 12 \cdot 2}$

Step 1.2.2

Add $8$ and $1$ .

$24 - \frac{9}{3^{3} - 12 \cdot 2}$

$24 - \frac{9}{3^{3} - 12 \cdot 2}$

Step 1.3

Simplify the denominator.

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Step 1.3.1

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

$24 - \frac{9}{27 - 12 \cdot 2}$

Step 1.3.2

Multiply $- 12$ by $2$ .

$24 - \frac{9}{27 - 24}$

Step 1.3.3

Subtract $24$ from $27$ .

$24 - \frac{9}{3}$

$24 - \frac{9}{3}$

Step 1.4

Divide $9$ by $3$ .

$24 - 1 \cdot 3$

Step 1.5

Multiply $- 1$ by $3$ .

$24 - 3$

$24 - 3$

Step 2

Subtract $3$ from $24$ .

$21$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$