Pregunta
(1) \( (-3)^{2} \times(-2)^{3}= \)
Ask by Mullins Estrada. in the United States
Jan 14,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\[
(-3)^{2} \times (-2)^{3} = -72
\]
Solución
To evaluate the expression:
\[
(-3)^{2} \times (-2)^{3}
\]
Let's break it down step by step:
1. **Calculate \((-3)^2\):**
\[
(-3)^2 = (-3) \times (-3) = 9
\]
2. **Calculate \((-2)^3\):**
\[
(-2)^3 = (-2) \times (-2) \times (-2) = -8
\]
3. **Multiply the two results:**
\[
9 \times (-8) = -72
\]
**Final Answer:**
\[
(-3)^{2} \times (-2)^{3} = -72
\]
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Simplifique esta solución Extra Insights
Let's break it down step by step! First, we calculate \( (-3)^{2} \), which is \( 9 \). Then, we calculate \( (-2)^{3} \), which is \( -8 \) because multiplying three negative twos together yields a negative product. Now we multiply \( 9 \times (-8) \), resulting in \( -72 \). So, \( (-3)^{2} \times (-2)^{3} = -72 \)! Now, with exponents, remember that the base being negative can change the sign depending on whether the exponent is even or odd. Even exponents will make the base positive, while odd exponents keep it negative. It's a fun little trick that makes solving these kinds of problems a breeze!
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