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

*print*Print*list*Cite

Expert Answers

justaguide | Certified Educator

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` **