Algebra Examples

${(\frac{2}{3} p)}^{2}$

Step 1

Combine $\frac{2}{3}$ and $p$ .

${(\frac{2 p}{3})}^{2}$

Step 2

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

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Step 2.1

Apply the product rule to $\frac{2 p}{3}$ .

$\frac{{(2 p)}^{2}}{3^{2}}$

Step 2.2

Apply the product rule to $2 p$ .

$\frac{2^{2} p^{2}}{3^{2}}$

Step 3

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

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

Step 4

Raise $3$ to the power of $2$ .

$\frac{4 p^{2}}{9}$