Final answer:
The answer involves applying exponent rules to simplify the expression, focusing on multiplying and dividing powers of the same base and using the order of operations.
Step-by-step explanation:
The question pertains to simplifying a complex expression involving exponents, which falls under basic exponent rules in mathematics. The expression provided is: (3^8 \u00d7 2^-5 \u00d7 9^0)-2 \u00d7 [2^-2/3^3]^4 \u00d7 3^28. To simplify, we follow the order of operations (PEMDAS/BODMAS) and apply the rules for multiplying and dividing powers.
- First, we note that any number raised to the power of zero is 1. So, 9*0 is 1.
- We then multiply the powers of like bases by adding exponents for multiplication and subtracting exponents for division.
- Next, we simplify the expression inside the brackets. [2^-2/3^3]^4 means that we first divide 2^-2 by 3^3 and then raise the result to the 4th power.
- Finally, we combine all the simplified parts, taking care to multiply the powers of three by adding exponents.
The solution requires careful algebraic manipulation, following the exponent rules, and staying systematic to avoid errors.