Question 1002293
Logarithms.


{{{100^(4/5)=100^(0.8)}}}

{{{log(10,100^(0.8))}}

{{{0.8*log(10,100)}}}

{{{0.8*2}}}

{{{1.6}}}


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Now, find antilog of 1.6, base 10.
Using handheld calculator,  {{{antilog(1.6)=highlight(39.81)}}}.


Also, again with handheld calculator, 100, [y^x], [=], gives result 39.81.