Simplify the expression using the properties of exponents. Expand any numerical portion of your answer and only includé positive exponents. $$ \frac{x^{-10} \cdot x^{-4}}{x^{4}} $$

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1. Start by combining the exponents in the numerator using the property $$ a^m \cdot a^n = a^{m+n} $$:
   $$
   x^{-10} \cdot x^{-4} = x^{-10-4} = x^{-14}
   $$
2. Next, divide by $$ x^4 $$ using the property $$ \frac{a^m}{a^n} = a^{m-n} $$:
   $$
   \frac{x^{-14}}{x^4} = x^{-14-4} = x^{-18}
   $$
3. Finally, express the result with only positive exponents. Recall that $$ x^{-n} = \frac{1}{x^n} $$:
   $$
   x^{-18} = \frac{1}{x^{18}}
   $$

The simplified expression is:
$$
\frac{1}{x^{18}}
$$
The simplified expression is $$ \frac{1}{x^{18}} $$.

Simplify the expression using the properties of exponents. Expand any numerical portion of your answer and only includé positive exponents.

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