We start by multiplying the coefficients from the expression \((3 p^{-15})(6 p^{11})\): \[ 3 \times 6 = 18 \]
Next, we add the exponents of \(p\): \[ -15 + 11 = -4 \]
Now, we combine the results from the previous steps to form the final expression: \[ 18 p^{-4} \]
\(\boxed{18 p^{-4}}\)
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