Pre-Algebra Examples

${(3 c d)}^{3}$

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 $3 c d$ .

${(3 c)}^{3} d^{3}$

Step 1.2

Apply the product rule to $3 c$ .

$3^{3} c^{3} d^{3}$

Step 2

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

$27 c^{3} d^{3}$