9) \( -15 \cdot(-6)+\sqrt{15^{2}-12^{2}}-(-1)^{6} \)

To solve the expression \( -15 \cdot(-6)+\sqrt{15^{2}-12^{2}}-(-1)^{6} \), let's break it down step by step. 1. Calculate the first part: \(-15 \cdot (-6) = 90\). 2. Now for the square root term: Calculate \( 15^{2} - 12^{2} \) \[ 15^{2} = 225, \quad 12^{2} = 144, \quad \Rightarrow 225 - 144 = 81. \] Therefore, \(\sqrt{15^{2} - 12^{2}} = \sqrt{81} = 9\). 3. Next, calculate \(-(-1)^{6}\): Since \( (-1)^{6} = 1\), then \(-(-1)^{6} = -1\). Now, combine all parts together: \[ 90 + 9 - 1 = 98. \] Thus, the final answer is \(\boxed{98}\).