Question

The variable c represents a whole number between 1 and 100. The values of the expressions c^1/2 and c^2/3 are both whole numbers for only one value of c. What whole number does c represent?

Answer 1

`{c}^{ (1)/(2) } = √(c)`

`{c}^{ (2)/(3) } = \sqrt[3]{ {c}^(2) }`

`c = {2}^(6) = 64`