Trigonometry Examples

$\frac{4}{3} \cdot (p {(\frac{18}{p})}^{3})$

Step 1

Simplify the expression.

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Step 1.1

Apply the product rule to $\frac{18}{p}$ .

$\frac{4}{3} \cdot (p \frac{18^{3}}{p^{3}})$

Step 1.2

Raise $18$ to the power of $3$ .

$\frac{4}{3} \cdot (p \frac{5832}{p^{3}})$

Step 2

Cancel the common factor of $p$ .

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Step 2.1

Factor $p$ out of $p^{3}$ .

$\frac{4}{3} \cdot (p \frac{5832}{p \cdot p^{2}})$

Step 2.2

Cancel the common factor.

$\frac{4}{3} \cdot (p \frac{5832}{p \cdot p^{2}})$

Step 2.3

Rewrite the expression.

$\frac{4}{3} \cdot \frac{5832}{p^{2}}$

Step 3

Combine.

$\frac{4 \cdot 5832}{3 p^{2}}$

Step 4

Cancel the common factor of $5832$ and $3$ .

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Step 4.1

Factor $3$ out of $4 \cdot 5832$ .

$\frac{3 (4 \cdot 1944)}{3 p^{2}}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $3$ out of $3 p^{2}$ .

$\frac{3 (4 \cdot 1944)}{3 (p^{2})}$

Step 4.2.2

Cancel the common factor.

$\frac{3 (4 \cdot 1944)}{3 p^{2}}$

Step 4.2.3

Rewrite the expression.

$\frac{4 \cdot 1944}{p^{2}}$

Step 5

Multiply $4$ by $1944$ .

$\frac{7776}{p^{2}}$