Question
Simplify. \[ \left(\frac{-8 w^{3}}{u}\right)^{2} \] Write your answer without parentheses.
Ask by Santiago Spencer. in the United States
Mar 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(\frac{64w^{6}}{u^{2}}\)
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The Deep Dive
To simplify \(\left(\frac{-8 w^{3}}{u}\right)^{2}\), we can square both the numerator and the denominator separately. For the numerator: \[ (-8 w^{3})^{2} = (-8)^{2} (w^{3})^{2} = 64 w^{6} \] For the denominator: \[ u^{2} \] Combining both results gives us: \[ \frac{64 w^{6}}{u^{2}} \] Thus, the simplified expression without parentheses is: \[ \frac{64 w^{6}}{u^{2}} \]