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

it would be 0.33333333333

Answer 2

remember
`\sqrt[n]{x^m} =x^ (m)/(n)` and

`(x^m)(x^n)=x^(m+n)` and

`(x^m)/(x^n)=x^(m-n)` and

`(x^m)^n=x^(mn)`

so


`( \sqrt[4]{9})( \frac{ √(9) }{\sqrt[4]{9^5}})`=

`( \sqrt[4]{9})( \frac{ √(2){3^2} }{9^(5)/(4)})`=

`( \sqrt[4]{9})( 3^(2)/(2) }{9\sqrt[4]{9}})`=

`(3)/(9)`=

`(1)/(3)`