Answer:
1/3 is simplified form of given expression.
Step-by-step explanation:
Given that:
= [tex]\sqrt[4]{9} \sqrt[2]{9}/ \sqrt[4]{9^5}[/tex]
Now we will write the radical in simple form first:
= [tex]9^{1/4} * 9^{1/2}/ 9^{5/4}[/tex]
As bases are same, powers will be added and subtracted as follows:
=[tex]9^{1/4 + 1/2 - 5/4}[/tex]
By simplifying the powers:
= [tex]9^{5/20 + 10/20 - 25/20}[/tex]
Now denominators are same so numerators can be added
=[tex]9^{-10/20}\\= 9^{-1/2}[/tex]
For removing the negative sign the base will be inverted:
= [tex](1/9)^{1/2}[/tex]
This can be written as follows:
=[tex]\sqrt{1/9} \\= 1/3[/tex]
i hope it will help you!
