Homework Help

Solve (9x) to the power of (3/2) divided by (81x) squared to the power of 1/4

user profile pic

prince0295 | Honors

Posted February 16, 2013 at 4:01 PM via web

dislike 1 like

Solve (9x) to the power of (3/2) divided by (81x) squared to the power of 1/4

1 Answer | Add Yours

Top Answer

user profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted February 16, 2013 at 4:14 PM (Answer #1)

dislike 1 like

The expression `(9x)^(3/2)/((81x)^2)^(1/4)` has to be simplified

`(9x)^(3/2)/((81x)^2)^(1/4)`

=> `(9^(3/2)*x^(3/2))/(81^(2/4)*x^(2/4))`

=> `(27*x^(3/2))/(9*x^(1/2))`

=> `3*x^(3/2 - 1/2)`

=> 3x

The expression `(9x)^(3/2)/((81x)^2)^(1/4) = 3x`

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes