Answer:
(3/2)^3
Step-by-step explanation:
The trick here is to identify the common base (it is 2) and express all factors except for 3^2 as powers of 2 that can be added or subtracted.
Note that 8 = 2^3, 6 = 2 * 3, 16 = 2^4 and 32 = 2^5. Using this info, we can immediately begin reducing the given expression:
(2^3)(2^3)(3^3) 2^6*3^3 3^3
(8^4)(6^3)(16^-2)÷32 => ----------------------- = ---------------- = --------------
2^4*2^5 2^9 2^3
= (3/2)^3
