Final answer:
To solve the problem, multiply the constants together and add the exponents of the like bases, treating negative exponents as inverses of positive exponents.
Step-by-step explanation:
The problem presented requires us to multiply expressions with exponents and simplify the result. When multiplying exponents, we add the exponents if the bases are the same. Negative exponents are treated as inverses, and positive exponents are as usual.
For instance, if we have terms like 5³ and 5´, by multiplying them, we effectively add the exponents to get 5· (3+4) = 5·. Similarly, in this problem, we multiply the coefficients and add the exponents of the like terms to simplify the expression:
- First, we multiply the coefficients: 4 * 2 * 8.
- Next, we add the exponents of x: 3 + (-7).
- Then, we do the same for u: (-6) + 5.
- Finally, we add the exponents of w: 3 + 1.
After performing these steps, we get the simplified expression which is the product of the given terms.