Basic Math Examples

$\frac{{(3 a)}^{3}}{{(4 b)}^{2}}$

Step 1

Simplify the numerator.

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Step 1.1

Apply the product rule to $3 a$ .

$\frac{3^{3} a^{3}}{{(4 b)}^{2}}$

Step 1.2

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

$\frac{27 a^{3}}{{(4 b)}^{2}}$

$\frac{27 a^{3}}{{(4 b)}^{2}}$

Step 2

Simplify the denominator.

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Step 2.1

Apply the product rule to $4 b$ .

$\frac{27 a^{3}}{4^{2} b^{2}}$

Step 2.2

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

$\frac{27 a^{3}}{16 b^{2}}$

$\frac{27 a^{3}}{16 b^{2}}$

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