Simplify \(\sqrt{(\frac{-1}{64})^{\frac{-2}{3}}}\).
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
Correct Answer: Option D
Explanation:
\((\frac{-1}{64})^{\frac{-2}{3}} = -64^{\frac{2}{3}}\)
\((-4^{3})^{\frac{2}{3}} = -4^{2} = 16\)
\(\therefore \sqrt{(\frac{-1}{64})^{\frac{-2}{3}} = \sqrt{16} = 4\)
\((\frac{-1}{64})^{\frac{-2}{3}} = -64^{\frac{2}{3}}\)
\((-4^{3})^{\frac{2}{3}} = -4^{2} = 16\)
\(\therefore \sqrt{(\frac{-1}{64})^{\frac{-2}{3}} = \sqrt{16} = 4\)