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

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justaguide | College Teacher | (Level 2) Distinguished Educator

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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`

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