Answer
$\dfrac{64a^{15}}{b^{9}}$
Work Step by Step
Using the properties of exponents, then,
\begin{array}{l}
\left( \dfrac{4a^5}{b^3} \right)^3
\\\\
\dfrac{4^3a^{5(3)}}{b^{3(3)}}
\\\\
\dfrac{64a^{15}}{b^{9}}
.\end{array}
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