a^4+b^4=(a^2)^2+(b^2)^2
=(a^2+b^2)^2–2a^2b^2
=(a^2+b^2)^2—(√ 2ab)^2
=(a^2+√ 2ab+b^2)(a^2-√ 2ab+b^2)
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Total number of bulbs produced=5000
total number of samples=120
number of defective=3
Probability that a bulb selected at random is defective will be:
3/120=0.025
The total number of bulbs that could be defective out of 5000 bulbs produced will be:
5000(0.025)=125 bulbs
Your first question does not provide enough information
The second question would be
a^5
or
√(a^10)