Simplify \((\sqrt[3]{64a^{3}})^{-1}\)
A
4a
B
1/8a
C
8a
D
1/4a
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\((\sqrt[3]{64a^{3}})^{-1} = (\sqrt[3]{(4a)^{3}})^{-1}\)
= \((4a)^{-1} \)
= \(\frac{1}{4a}\)
Source: Myschool Past Questions Archive (Record #1115)