Question

Evaluate fourth root of 9 multiplied by square root of 9 over the fourth root of 9 to the power of 5.

Answer 1

Remember $\sqrt[n]{x^m} =x^ \frac{m}{n}$ and
$(x^m)(x^n)=x^{m+n}$ and
$\frac{x^m}{x^n}=x^{m-n}$ and
$(x^m)^n=x^{mn}$

so

$( \sqrt[4]{9})( \frac{ \sqrt{9} }{\sqrt[4]{9^5}})$=
$( \sqrt[4]{9})( \frac{ \sqrt{2}{3^2} }{9^\frac{5}{4}})$=
$( \sqrt[4]{9})( 3^\frac{2}{2} }{9\sqrt[4]{9}})$=
$\frac{3}{9}$=
$\frac{1}{3}$

Answer 2

It would be 0.33333333333