Question
Multiply. \[ -2 x^{3}\left(-x^{3}\right) \] Simplify your answer as much as possible.
Ask by Simmons Schneider. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The simplified answer is \(2x^{6}\).
Solution
Certainly! Let's multiply and simplify the expression step by step.
**Given Expression:**
\[
-2x^{3} \cdot (-x^{3})
\]
**Step 1: Multiply the Coefficients**
\[
-2 \times (-1) = 2
\]
Multiplying two negative numbers results in a positive number.
**Step 2: Multiply the Variables with Exponents**
\[
x^{3} \times x^{3} = x^{3+3} = x^{6}
\]
When multiplying like bases, you add the exponents.
**Step 3: Combine the Results**
\[
2 \times x^{6} = 2x^{6}
\]
**Final Simplified Expression:**
\[
2x^{6}
\]
So, the simplified form of \(-2x^{3} \cdot (-x^{3})\) is **\(2x^{6}\)**.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To multiply the expression \(-2x^{3}(-x^{3})\), we start by multiplying the coefficients and the variable parts separately. First, multiply the coefficients: \(-2 \times -1 = 2\). Next, for the variable parts, we apply the law of exponents: \[ x^{3} \cdot x^{3} = x^{3+3} = x^{6}. \] Now, combine both parts: \[ 2x^{6}. \] So, the simplified answer is: \[ \boxed{2x^{6}}. \]
