Question
Evaluate the following expression for the value given. \[ -7 x^{3} ; x=-6 \]
Ask by Zimmerman Powers. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The value of \(-7x^{3}\) when \(x = -6\) is 1512.
Solution
To evaluate the expression \(-7x^{3}\) for \(x = -6\), follow these steps:
1. **Substitute \(-6\) for \(x\) in the expression:**
\[
-7(-6)^{3}
\]
2. **Calculate the exponent:**
\[
(-6)^{3} = (-6) \times (-6) \times (-6) = -216
\]
3. **Multiply by \(-7\):**
\[
-7 \times (-216) = 1512
\]
**Final Answer:**
\[
-7(-6)^{3} = 1512
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
First, let's substitute \( x = -6 \) into the expression \( -7 x^{3} \): \[ -7 (-6)^{3} \] Next, we calculate \( (-6)^{3} \): \[ (-6)^{3} = -6 \times -6 \times -6 = -216 \] Now, substituting this back into the expression gives us: \[ -7 \times -216 \] Calculating this results in: \[ -7 \times -216 = 1512 \] So, the evaluated expression for \( x = -6 \) is: \[ \boxed{1512} \]
