Question

How do you simplify `(125^(2/9)*125^(1/9))/5^(1/4)`?

Answer 1

`=3.34`

Explanation:

`(125^(2/9) .125(1/9))/5^(1/4)`
`=(125^(2/9+1/9))/5^(1/4)`
`=(125^(3/9))/5^(1/4)`
`=(125^(1/3))/5^(1/4)`
`=root3(125)/5^(1/4)`
`=(root3(5times5times5))/5^(1/4)`
`=5/5^(1/4)`
`=5^(1-1/4)`
`=5^(3/4)`
`=root4(5^3)`
`=3.34`