Algebra Examples

${(- \frac{3}{4} p)}^{3}$

Step 1

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

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

Step 2

Move $3$ to the left of $p$ .

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

Step 3

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

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Step 3.1

Apply the product rule to $- \frac{3 p}{4}$ .

${(- 1)}^{3} {(\frac{3 p}{4})}^{3}$

Step 3.2

Apply the product rule to $\frac{3 p}{4}$ .

${(- 1)}^{3} \frac{{(3 p)}^{3}}{4^{3}}$

Step 3.3

Apply the product rule to $3 p$ .

${(- 1)}^{3} \frac{3^{3} p^{3}}{4^{3}}$

Step 4

Raise $- 1$ to the power of $3$ .

$- \frac{3^{3} p^{3}}{4^{3}}$

Step 5

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

$- \frac{27 p^{3}}{4^{3}}$

Step 6

Raise $4$ to the power of $3$ .

$- \frac{27 p^{3}}{64}$