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

Question

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

Answer 1

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


`\Large ( 9^(1/4) 9^(1/2) )/( 9^(5/4) )`


`\Large ( 9^(1/4+1/2) )/( 9^(5/4) )`


`\Large ( 9^(3/4) )/( 9^(5/4) )`


`\Large 9^(3/4-5/4)`


`\Large 9^(-2/4)`


`\Large 9^(-1/2)`


`\Large (1)/(√(9))`


`\Large (1)/(3)`

The final answer is
`\Large (1)/(3)`