Question
Simplify the expression. \( \left(-n^{5}\right)^{5}=\square \)
Ask by Huang Wagner. in the United States
Feb 03,2025
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Tutor-Verified Answer
Answer
The simplified expression is \( n^{25} \).
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To simplify the expression \( \left(-n^{5}\right)^{5} \), you apply the power of a product rule, which states that \( (a \cdot b)^{m} = a^{m} \cdot b^{m} \). Here, \( a = -1 \) and \( b = n^{5} \), so you get: \[ (-1)^{5} \cdot (n^{5})^{5} = -1 \cdot n^{25} \] Thus, the expression simplifies to \( -n^{25} \).
