Bunuel wrote:
For all positive numbers x, Δx is defined as the cube root of x, and ∇x is defined as the square root of x. If ∇(Δk)=m^2 , then k =
A. m^(12/5)
B. m^6
C. m^12
D. m^36
E. m^64
Best way to go about doing this problem is to substitute a value for \(m\). Let \(m = 2\)
Therefore, we have to find the value of ∇(Δk) = \(m^2\) or 4
\(4(2^2)\) is the cube root of \(4*4*4 = 64(2^6)\), which the square root of \(64*64 = 4096(2^{12})\)
Substituting the values in the answer options, we arrive at the value of k which is \(m^{12}\)
(Option C)
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79% (01:29) correct 
