Algebra Examples

$\frac{{(3 x)}^{12}}{{(3 x)}^{4}}$

Step 1

Cancel the common factor of ${(3 x)}^{12}$ and ${(3 x)}^{4}$ .

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Step 1.1

Factor ${(3 x)}^{4}$ out of ${(3 x)}^{12}$ .

$\frac{{(3 x)}^{4} {(3 x)}^{8}}{{(3 x)}^{4}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Multiply by $1$ .

$\frac{{(3 x)}^{4} {(3 x)}^{8}}{{(3 x)}^{4} \cdot 1}$

Step 1.2.2

Cancel the common factor.

$\frac{{(3 x)}^{4} {(3 x)}^{8}}{{(3 x)}^{4} \cdot 1}$

Step 1.2.3

Rewrite the expression.

$\frac{{(3 x)}^{8}}{1}$

Step 1.2.4

Divide ${(3 x)}^{8}$ by $1$ .

${(3 x)}^{8}$

Step 2

Simplify the expression.

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Step 2.1

Apply the product rule to $3 x$ .

$3^{8} x^{8}$

Step 2.2

Raise $3$ to the power of $8$ .

$6561 x^{8}$