JAMB - Mathematics (1989 - No. 5)
Simplify \(\sqrt[3]{(64r^{-6})^{\frac{1}{2}}}\)
\(\frac{r}{2}\)
2r
\(\frac{1}{2r}\)
\(\frac{2}{r}\)
Paliwanag
\(\sqrt[3]{(64r^{-6})^{\frac{1}{2}}}\)
= \(((64r^{-6})^{1/_2})^{1/_3}\)
=\((64r^{-6})^{1/_6}\)
= (\(64)^{1/_6}(r^{-6})^{1/_6}\)
=\(\frac{2}{\text{r}}\)