Simplify the expression. $$ \frac{a^{12}}{a^{6}} $$

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UpStudy AI · Accepted Answer

To simplify the expression $$\frac{a^{12}}{a^{6}}$$, you can use the **laws of exponents**, specifically the **quotient rule**. The quotient rule states that when you divide two expressions with the same base, you subtract the exponents:

$$
\frac{a^{m}}{a^{n}} = a^{m - n}
$$

Applying this rule to your expression:

$$
\frac{a^{12}}{a^{6}} = a^{12 - 6} = a^{6}
$$

**Simplified Expression:**

$$
a^{6}
$$
The simplified expression is $$ a^{6} $$.

Simplify the expression.

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