Simplify \((216^{{\frac{1}{3}}})^{-2}\)
-
\(\frac{1}{36}\)
- \(\frac{1}{18}\)
- \(\frac{1}{13}\)
- \(\frac{1}{6}\)
- \(\frac{1}{3}\)
The correct answer is: A
Explanation
\((216^{\frac{1}{3}})^{-2}\)
= \(216^{\frac{-2}{3}}\)
= (3√216)\(^{-2}\)
= (6)\(^{-2}\)
= \(\frac{1}{6^2}\)
=\(\frac{1}{36}\)