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

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UpStudy AI · Accepted Answer

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 $$ 12 $$.
El resultado de la operación es $$ 12 $$.

delve las siguientes operaciones:

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