Answer:
(x - 1) / (x + 3).
Step-by-step explanation:
x²+5x-6/x²+9x+18
Factoring top and bottom:
= (x + 6)(x - 1) / (x + 6)(x + 3) (x + 6) is common, so:
= (x - 1) / (x + 3) (answer).
The given expression is:
![\sqrt[4]{ 9^{ \frac{1}{2}x } }](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%209%5E%7B%20%5Cfrac%7B1%7D%7B2%7Dx%20%7D%20%7D%20%20)
4th root is equivalent to raising the expression to power

. So, re-writing the expression by converting radical to exponent:
Therefore, the given expression simplifies to