To simplify the expression \( y^{-9} \cdot y^{-3} \), we can use the rule of exponents that states \( a^m \cdot a^n = a^{m+n} \).
Applying this rule, we have:
\[ y^{-9} \cdot y^{-3} = y^{-9 + (-3)} = y^{-12} \]
Next, we want to express our answer in exponential form with positive exponents. To do this, we can rewrite \( y^{-12} \) as:
\[ y^{-12} = \frac{1}{y^{12}} \]
Thus, the fully simplified expression in exponential form with positive exponents only is:
\[ \frac{1}{y^{12}} \]
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