The expression seems a bit unclear due to formatting. Let me interpret it as follows:
\[ x = \frac{{(3.5 \times 3.5)^6 \cdot (3.5)^8}}{{(3.5)^7}} \]
Now, simplify this expression:
\[ x = \frac{{(12.25)^6 \cdot (12.25)^8}}{{12.25^7}} \]
Combine the exponents with the same base:
\[ x = \frac{{12.25^{6+8}}}{{12.25^7}} \]
Now, subtract the exponents:
\[ x = 12.25^{14-7} \]
\[ x = 12.25^7 \]
So, \( x \) is equal to \( 12.25^7 \). If you want a numerical value, you can calculate it.