Question
\( \left. \begin{array} { l } { ( \sqrt[ 5 ] { 4 x ^ { 3 } } ) ^ { 15 } } \\ { [ ? ] x } \end{array} \right. \)
Ask by Morgan Kelley. in the United States
Mar 11,2025
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Answer
The simplified expression is \( 64x^{9} \).
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Beyond the Answer
To solve \( (\sqrt[5]{4x^3})^{15} \), we can simplify it step by step. First, recall that \(\sqrt[5]{a} = a^{1/5}\), so we can rewrite the expression as: \[ (4x^3)^{15/5} = (4x^3)^{3} = 4^{3} (x^{3})^{3} = 64x^9 \] Thus, the expression simplifies to \(64x^9\). For your question [ ? ] x, it seems you're looking for the simplified form of the expression. The answer is \(64x^9\).