JAMB 2016 · UTME · Q38

Simplify $\left(\sqrt[3]{64000}\right)^{-1}$ .

Worked solution (try it first)

Split the number: $64\,000 = 64 \times 1000$ , and $\sqrt[3]{64} = 4$ , $\sqrt[3]{1000} = 10$ .
So $\sqrt[3]{64\,000} = 40$ .
The power $-1$ means the reciprocal: $\frac{1}{40}$ , option C.