Pregunta
\( -3 x y^{2} \) when \( x=6 \) and \( y=-4 \)
Ask by Goodwin Ward. in the United States
Jan 23,2025
Solución de tutoría real
Respuesta verificada por el tutor
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When \( x = 6 \) and \( y = -4 \), the expression \( -3xy^{2} \) equals \(-288\).
Solución
To evaluate the expression \( -3xy^{2} \) when \( x = 6 \) and \( y = -4 \), follow these steps:
1. **Substitute the given values into the expression:**
\[
-3 \times 6 \times (-4)^{2}
\]
2. **Calculate \( y^{2} \):**
\[
(-4)^{2} = 16
\]
3. **Multiply the values together:**
\[
-3 \times 6 \times 16
\]
\[
= -18 \times 16
\]
\[
= -288
\]
**Final Answer:** \(-288\)
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Simplifique esta solución Extra Insights
To solve for \( -3xy^{2} \) when \( x=6 \) and \( y=-4 \), simply substitute the values into the expression. Start by calculating \( y^{2} \) which is \( (-4)^{2} = 16 \). Then, substitute \( x \) and \( y^{2} \) into the expression: \[ -3 \cdot 6 \cdot 16 = -288. \] Therefore, the final answer is \( -288 \). If you're dealing with negative numbers, remember that squaring a negative will always give you a positive result, which can help avoid common mistakes! It’s also helpful to break down calculations step-by-step to minimize errors when substituting values.
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