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Q. \( 64^{-1/3}(64^{1/3} – 64^{2/3}) \)
(a) 1 (b) \( \frac{1}{3} \) (c) -3 (d) -2
✏️ Solution
\( 64 = 2^6 \)
\( 64^{1/3} = 4,\quad 64^{2/3} = 16 \)
\( 64^{-1/3} = \frac{1}{4} \)
\( = \frac{1}{4}(4 – 16) \)
\( = \frac{1}{4}(-12) = -3 \)
Correct Option: (c) -3
\( \boxed{-3} \)