# How do you simplify [-5(3/2)(4-9x)^(-1/2)](-9)?

Mar 8, 2016

$\frac{135}{2 \sqrt{4 - 9 x}}$

#### Explanation:

The multiplication is commutoative, therefore (-9) may come for the beginning of the expression.

Something raised to 1/2 maybe replace by the square root. If the exponent is negative the operation is division.
Then is amatter of multiplying the numbers:

$\left[- 5 \left(\frac{3}{2}\right) {\left(4 - 9 x\right)}^{- \frac{1}{2}}\right] \left(- 9\right) = \frac{\left(- 9\right) \left(- 5\right) \left(\frac{3}{2}\right)}{\sqrt{4 - 9 x}} = \frac{135}{2 \sqrt{4 - 9 x}}$