Question 146996
To find the inverse of a function, first use x and y as dependent and independent variables. 
{{{f(x)=x^5}}}
{{{y=x^5}}}
Now interchange x and y and solve for y.
{{{y=x^5}}}
{{{highlight(x)=highlight(y)^5}}}
{{{y=x^(1/5)}}}
{{{f^(-1)(x)=x^(1/5)}}}
The answer's a bit cut off but the exponent should be (1/5).