4) $$ 2^{2}-[4-3(4-2)]-\{7-5[4-2(7-2)]\}= $$

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UpStudy AI · Accepted Answer

Calculate the value by following steps:
- step0: Calculate:
  $$2^{2}-\left(4-3\left(4-2\right)\right)-\left(7-5\left(4-2\left(7-2\right)\right)\right)$$
- step1: Subtract the numbers:
  $$2^{2}-\left(4-3\times 2\right)-\left(7-5\left(4-2\left(7-2\right)\right)\right)$$
- step2: Multiply the numbers:
  $$2^{2}-\left(4-6\right)-\left(7-5\left(4-2\left(7-2\right)\right)\right)$$
- step3: Subtract the numbers:
  $$2^{2}-\left(-2\right)-\left(7-5\left(4-2\left(7-2\right)\right)\right)$$
- step4: Remove the parentheses:
  $$2^{2}+2-\left(7-5\left(4-2\left(7-2\right)\right)\right)$$
- step5: Subtract the numbers:
  $$2^{2}+2-\left(7-5\left(4-2\times 5\right)\right)$$
- step6: Multiply the numbers:
  $$2^{2}+2-\left(7-5\left(4-10\right)\right)$$
- step7: Subtract the numbers:
  $$2^{2}+2-\left(7-5\left(-6\right)\right)$$
- step8: Multiply the numbers:
  $$2^{2}+2-\left(7+30\right)$$
- step9: Add the numbers:
  $$2^{2}+2-37$$
- step10: Evaluate the power:
  $$4+2-37$$
- step11: Calculate:
  $$-31$$
Para resolver la expresión $$ 2^{2}-[4-3(4-2)]-\{7-5[4-2(7-2)]\} $$, seguimos estos pasos:

1. **Calculamos $$ 2^2 $$**:
   $$
   2^2 = 4
   $$

2. **Calculamos $$ 4 - 3(4 - 2) $$**:
   - Primero, resolvemos $$ 4 - 2 = 2 $$.
   - Luego, multiplicamos $$ 3 \times 2 = 6 $$.
   - Finalmente, $$ 4 - 6 = -2 $$.

3. **Calculamos $$ 7 - 5[4 - 2(7 - 2)] $$**:
   - Primero, resolvemos $$ 7 - 2 = 5 $$.
   - Luego, $$ 2 \times 5 = 10 $$.
   - Ahora, calculamos $$ 4 - 10 = -6 $$.
   - Después, multiplicamos $$ 5 \times -6 = -30 $$.
   - Finalmente, $$ 7 - (-30) = 7 + 30 = 37 $$.

4. **Sustituimos los resultados en la expresión original**:
   $$
   4 - (-2) - 37
   $$

5. **Simplificamos**:
   - Primero, $$ 4 + 2 = 6 $$.
   - Luego, $$ 6 - 37 = -31 $$.

Por lo tanto, el resultado de la expresión es:
$$
\boxed{-31}
$$
El resultado de la expresión es -31.

4) \( 2^{2}-[4-3(4-2)]-\{7-5[4-2(7-2)]\}= \)

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