Answer:
The simplified expression is 1/w^6.
Explanation:
Using the product of powers exponent rule, we have
w^3 * w^(-9) = w^(3 + (-9)) = w^(-6).
However, the problem says to write the expression using only positive exponents. Here's an example of how to interpret negative exponents as positive exponents:
3^2 = 9
3^1 = 3
3^0 = 1
3^(-1) = 1/3
(and keeps on dividing by three onward)
Here, we see that 3^(-1) = 1/3^1.
Applying the same logic here, we have
w^(-6) = 1/w^6.
I hope this helps!