Basic Math Examples

$v = \frac{4}{3} \cdot (p {(1.5)}^{3})$

Step 1

Remove parentheses.

$v = \frac{4}{3} \cdot (p \cdot {1.5}^{3})$

Step 2

Remove parentheses.

$v = \frac{4}{3} p \cdot {1.5}^{3}$

Step 3

Simplify $\frac{4}{3} p \cdot {1.5}^{3}$ .

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Step 3.1

Combine $\frac{4}{3}$ and $p$ .

$v = \frac{4 p}{3} \cdot {1.5}^{3}$

Step 3.2

Raise $1.5$ to the power of $3$ .

$v = \frac{4 p}{3} \cdot 3.375$

Step 3.3

Multiply $\frac{4 p}{3} \cdot 3.375$ .

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Step 3.3.1

Combine $\frac{4 p}{3}$ and $3.375$ .

$v = \frac{4 p \cdot 3.375}{3}$

Step 3.3.2

Multiply $3.375$ by $4$ .

$v = \frac{13.5 p}{3}$

$v = \frac{13.5 p}{3}$

Step 3.4

Factor $13.5$ out of $13.5 p$ .

$v = \frac{13.5 (p)}{3}$

Step 3.5

Factor $3$ out of $3$ .

$v = \frac{13.5 (p)}{3 (1)}$

Step 3.6

Separate fractions.

$v = \frac{13.5}{3} \cdot \frac{p}{1}$

Step 3.7

Divide $13.5$ by $3$ .

$v = 4.5 \frac{p}{1}$

Step 3.8

Divide $p$ by $1$ .

$v = 4.5 p$

$v = 4.5 p$

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