Question
Simplify \( \left(-5 x^{3}\right)\left(6 x^{9}\right) \)
Ask by Craig Welch. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(-30x^{12}\)
Solution
To simplify the expression \( \left(-5 x^{3}\right)\left(6 x^{9}\right) \), follow these steps:
1. **Multiply the coefficients**:
\[
-5 \times 6 = -30
\]
2. **Multiply the variables with the same base by adding their exponents**:
\[
x^{3} \times x^{9} = x^{3+9} = x^{12}
\]
3. **Combine the results**:
\[
-30 \times x^{12} = -30x^{12}
\]
**Final Simplified Form**:
\[
-30x^{12}
\]
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Simplify this solution Beyond the Answer
To simplify \( \left(-5 x^{3}\right)\left(6 x^{9}\right) \), we start by multiplying the coefficients and the variable parts separately. First, multiply the coefficients: \(-5 \times 6 = -30\). Next, apply the property of exponents for the variable part: \(x^{3} \cdot x^{9} = x^{3 + 9} = x^{12}\). Combining these results, we get: \[ \left(-5 x^{3}\right)\left(6 x^{9}\right) = -30 x^{12}. \]
