Simplify \((216^{{\frac{1}{3}}})^{-2}\)
A
\(\frac{1}{36}\)
B
\(\frac{1}{18}\)
C
\(\frac{1}{13}\)
D
\(\frac{1}{6}\)
E
\(\frac{1}{3}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\((216^{\frac{1}{3}})^{-2}\)
= \(216^{\frac{-2}{3}}\)
= (3\sqrt216)\(^{-2}\)
= (6)\(^{-2}\)
= \(\frac{1}{6^2}\)
=\(\frac{1}{36}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #42297)