Another example:
0.4^5 = 0.4*0.4*0.4*0.4*0.4 = 0.01024
so
0.01024^(1/5) must equal 0.4
It is becasue if you raise a number less then 1 to a power greater than 1 then the answer is smaller as in this example.
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In your example
0.8479510815230789^(100/18) = 0.4
so
0.4^(18/100)=0.8479510815230789