ANSWER
3438
EXPLANATION:
PARENTHESIS FIRST
32 x 8 = 256
17 x 4 = 68
256 - 68 = 188
(now the equation is, 6³ ÷ 4 + 2 x 9 (188))
EXPONENTS NEXT
6³= 216
(now the equation is, 216 ÷ 4 + 2 x 9 (188))
MULTIPLICATION AND DIVISION NEXT (left to right)
216 ÷ 4 = 54
2 x 9 = 18
18 x 188 = 84
(now the equation is, 54 + 3384)
LASTLY ADDITION AND SUBTRACTION (left to right)
54 + 3384 = 3438
Ta-da!