Final answer:
The mean of x^4, y^4, f^4, d^4, z^4, and w^4 is 5.
Step-by-step explanation:
To find the mean of x^4, y^4, f^4, d^4, z^4, and w^4, we need to sum up the six terms and divide the total by 6 since there are six terms.
The given equation tells us that when we add up all these terms and multiply by 5, we get 150. So the sum of x^4, y^4, f^4, d^4, z^4, and w^4 is 150 divided by 5, which is 30.
To find the mean, we divide this sum by 6, giving us 30 divided by 6, which is 5.