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

1 Answer
Mar 8, 2016

#135/(2sqrt(4-9x))#

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:

#[-5(3/2)(4-9x)^(-1/2)] (-9)= ((-9)(-5)(3/2))/sqrt(4-9x)=135/(2sqrt(4-9x))#