So the answer to X = 11.21
I am trying to work the equation backwards and am melting my brain.
This is wrong below, but this is essentially what kind of answer I am looking for:
62.1 x .2 = X
x^.2 = x^0.2 = x^1/5
So your equation is:
x^1/5 = 1.62. Do you know to take it from here, or need more help? 
OK. It seems you need more.
(x^1/5)^5 = (1.62)^5 <=>
x = (1.62)^5.
Is that what you’re asking?
On a side note, √x = x^1/2. So x^1/5 is the 5th root from x, or root of degree 5.
yes! thank you!