Question
\( \left(-6 a^{2} b^{4} c\right)^{2}=\square \) (Type your answer using exponential notation.)
Ask by Pierce Santiago. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 36a^{4}b^{8}c^{2} \)
Solution
\[
36\, a^{4}\, b^{8}\, c^{2}
\]
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Simplify this solution Extra Insights
To simplify \( \left(-6 a^{2} b^{4} c\right)^{2} \), we need to square each factor inside the parentheses. This gives us: \[ (-6)^{2} \cdot (a^{2})^{2} \cdot (b^{4})^{2} \cdot (c)^{2} = 36 \cdot a^{4} \cdot b^{8} \cdot c^{2} \] So the final answer is: \[ 36 a^{4} b^{8} c^{2} \]
