JAMB - Mathematics (1989 - No. 5)

Simplify \(\sqrt[3]{(64r^{-6})^{\frac{1}{2}}}\)
\(\frac{r}{2}\)
2r
\(\frac{1}{2r}\)
\(\frac{2}{r}\)

Explanation

\(\sqrt[3]{(64r^{-6})^{\frac{1}{2}}}\)

= \(((64r^{-6})^{1/_2})^{1/_3}\)

=\((64r^{-6})^{1/_6}\)

= (\(64)^{1/_6}(r^{-6})^{1/_6}\)

=\(\frac{2}{\text{r}}\)

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