Simplify: \(64^{-1/3}(64^{1/3} – 64^{2/3})\)
Solution
\[ 64 = 4^3 \Rightarrow 64^{1/3} = 4 \]
\[ = 64^{-1/3}(4 – 16) \]
\[ = \frac{1}{4} \cdot (-12) \]
\[ = -3 \]
Final Answer:
\[ \boxed{-3} \]
\[ 64 = 4^3 \Rightarrow 64^{1/3} = 4 \]
\[ = 64^{-1/3}(4 – 16) \]
\[ = \frac{1}{4} \cdot (-12) \]
\[ = -3 \]
\[ \boxed{-3} \]