This is a geometric sequence with a common ratio of -4:
-9*-4=36
36*-4=-144
-144*-4=576
Thus, the 9th term would be equal to:
(-4)^5*576 which is -589824
The exponent 5 comes from the fact that 4 terms have already been displayed and we need 9-4 more terms to get to the 9th term. Since we are multiplying by -4 only, the 5 remains an exponent