Pre-Algebra Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

Apply the product rule to $3 a$ .

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

Step 1.3

Apply the product rule to $4 b$ .

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

Step 2

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

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

Step 3

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

$\frac{27 a^{3}}{64 b^{3}}$