Mathematics
Brian111
38

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

+3
(2) Answers
Punct

it would be 0.33333333333

Nona284

remember [latex] \sqrt[n]{x^m} =x^ \frac{m}{n} [/latex] and [latex](x^m)(x^n)=x^{m+n}[/latex] and [latex] \frac{x^m}{x^n}=x^{m-n} [/latex] and [latex](x^m)^n=x^{mn}[/latex] so [latex]( \sqrt[4]{9})( \frac{ \sqrt{9} }{\sqrt[4]{9^5}}) [/latex]= [latex]( \sqrt[4]{9})( \frac{ \sqrt{2}{3^2} }{9^\frac{5}{4}}) [/latex]= [latex]( \sqrt[4]{9})( 3^\frac{2}{2} }{9\sqrt[4]{9}}) [/latex]= [latex] \frac{3}{9} [/latex]= [latex] \frac{1}{3} [/latex]

Add answer