Given that 196k is a perfect cube, find the smallest possible value of k

Factor 196k

196k=2*2*7*7*k

we need to get something like x^3

hmm

we right now have

(2*7) ^2

if we multiply that by (2*7) ^1, we can beg (2*7) ^3,

therefor k=2*7=14

tha tnumber is 14

or

if k can be any number

k can be 1/196, to make it 1, and 1 is a perfect cube

or

my bro had an epic idea: what if k is negative

the cube root of a negative number is negative

so the smallest one would be negative infinity or something

I think the answer you're looking for is k=14