Calculus Examples

$\frac{12}{{(2 - 3 (\frac{1}{3}))}^{3}}$

Step 1

Simplify the denominator.

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Step 1.1

Cancel the common factor of $3$ .

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Step 1.1.1

Factor $3$ out of $- 3$ .

$\frac{12}{{(2 + 3 (- 1) \frac{1}{3})}^{3}}$

Step 1.1.2

Cancel the common factor.

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

Step 1.1.3

Rewrite the expression.

$\frac{12}{{(2 - 1)}^{3}}$

$\frac{12}{{(2 - 1)}^{3}}$

Step 1.2

Subtract $1$ from $2$ .

$\frac{12}{1^{3}}$

Step 1.3

One to any power is one.

$\frac{12}{1}$

$\frac{12}{1}$

Step 2

Divide $12$ by $1$ .

$12$

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