Question
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Answer
El resultado de la expresión es 43.
Solution
Para resolver la expresión \( -2^{5}-(-3) \cdot(-5)^{2}:(-1)^{12} \), seguiremos los pasos de cálculo uno a uno.
1. **Calcular \( -2^{5} \)**:
\[
-2^{5} = -32
\]
2. **Calcular \( (-5)^{2} \)**:
\[
(-5)^{2} = 25
\]
3. **Calcular \( -3 \cdot 25 \)**:
\[
-3 \cdot 25 = -75
\]
4. **Calcular \( (-1)^{12} \)**:
\[
(-1)^{12} = 1
\]
5. **Calcular \( -75 : 1 \)**:
\[
-75 : 1 = -75
\]
6. **Combinar todos los resultados**:
\[
-32 - (-75) = -32 + 75 = 43
\]
Por lo tanto, el resultado de la expresión es:
\[
\boxed{43}
\]
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Simplify this solution Extra Insights
Let's break this expression down step by step for clarity! First, we tackle \( -2^{5} \), which evaluates to \( -32 \), since \( 2^{5} = 32 \). Next, we simplify \( (-3) \cdot (-5)^{2} \). The square of \(-5\) is \(25\), so we have \( (-3) \cdot 25 = -75 \). Now, combining these we get \( -32 - (-75) = -32 + 75 = 43\). Finally, since we deal with \( (-1)^{12} \) next, it equals \(1\). Thus, we find \( 43 : 1 = 43 \). The final answer is \( 43 \). Now, wasn't that a wild ride? It's fascinating how simple arithmetic can become a mini adventure in math! Remember, patience and accuracy are key – so always double check your work!
