Question 254323
Seems like you have two separate problems here.
A. {{{sqrt(7) / 7^(1/5)}}}
rewrite as fractional powers as
{{{(7)^(1/2) / 7^(1/5)}}}
since we are dividing like bases, subtract exponents to get
{{{7^(1/2-1/5)}}}
and then
{{{7^(3/10)}}}
B.  {{{80^(1/4) / 9}}}
rewrite 16*5 to get
{{{((16^(1/4)*5^(1/4)) / 9)}}}
and then
{{{(2/9)*5^(1/4)}}}