Simplify: \(5(8^{1/3} + 27^{1/3})^3\)
Solution
\[ 8^{1/3} = 2,\quad 27^{1/3} = 3 \]
\[ = 5(2 + 3)^3 \]
\[ = 5 \cdot 5^3 \]
\[ = 5 \cdot 125 \]
\[ = 625 \]
Final Answer:
\[ \boxed{625} \]
\[ 8^{1/3} = 2,\quad 27^{1/3} = 3 \]
\[ = 5(2 + 3)^3 \]
\[ = 5 \cdot 5^3 \]
\[ = 5 \cdot 125 \]
\[ = 625 \]
\[ \boxed{625} \]