delve las siguientes operaciones: \( (-1)^{3}-3 \cdot \sqrt{16+(-3)^{2}}-2 \cdot[3 \cdot(-4)+12:(-6)]= \)

Calculate the value by following steps: - step0: Calculate: \(\left(-1\right)^{3}-3\sqrt{16+\left(-3\right)^{2}}-2\left(3\left(-4\right)+\frac{12}{\left(-6\right)}\right)\) - step1: Remove the parentheses: \(\left(-1\right)^{3}-3\sqrt{16+\left(-3\right)^{2}}-2\left(3\left(-4\right)+\frac{12}{-6}\right)\) - step2: Divide the terms: \(\left(-1\right)^{3}-3\sqrt{16+\left(-3\right)^{2}}-2\left(3\left(-4\right)-2\right)\) - step3: Multiply the numbers: \(\left(-1\right)^{3}-3\sqrt{16+\left(-3\right)^{2}}-2\left(-12-2\right)\) - step4: Add the numbers: \(\left(-1\right)^{3}-3\sqrt{25}-2\left(-12-2\right)\) - step5: Subtract the numbers: \(\left(-1\right)^{3}-3\sqrt{25}-2\left(-14\right)\) - step6: Simplify the root: \(\left(-1\right)^{3}-3\times 5-2\left(-14\right)\) - step7: Multiply the numbers: \(\left(-1\right)^{3}-15-2\left(-14\right)\) - step8: Multiply the numbers: \(\left(-1\right)^{3}-15+28\) - step9: Evaluate the power: \(-1-15+28\) - step10: Calculate: \(12\) Para resolver la operación \( (-1)^{3}-3 \cdot \sqrt{16+(-3)^{2}}-2 \cdot[3 \cdot(-4)+12:(-6)] \), seguimos los siguientes pasos: 1. **Calcular \( (-1)^{3} \)**: \[ (-1)^{3} = -1 \] 2. **Calcular \( (-3)^{2} \)**: \[ (-3)^{2} = 9 \] 3. **Sumar \( 16 + 9 \)**: \[ 16 + 9 = 25 \] 4. **Calcular la raíz cuadrada de 25**: \[ \sqrt{25} = 5 \] 5. **Multiplicar por -3**: \[ -3 \cdot 5 = -15 \] 6. **Calcular \( 3 \cdot (-4) \)**: \[ 3 \cdot (-4) = -12 \] 7. **Calcular \( 12 / (-6) \)**: \[ 12 / (-6) = -2 \] 8. **Sumar los resultados de los pasos 6 y 7**: \[ -12 + (-2) = -14 \] 9. **Multiplicar por -2**: \[ -2 \cdot (-14) = 28 \] 10. **Sumar todos los resultados**: \[ -1 - 15 + 28 = 12 \] Por lo tanto, el resultado de la operación es \( 12 \).