3. A number raised to the power 4 is equal to 256 . Find the number.

Did you know that 256 is actually a power of 2? That’s right! 2 raised to the power of 8 gives us 256. So, if we are looking for a number that, when raised to the power of 4 equals 256, we can find that by taking the fourth root of 256. This would lead us to the answer: the number is 4, since 4^4 = 256!

Now, on a more fun note, this concept pops up in various places in real life, especially in computer science. For example, binary code, which forms the backbone of all software, is structured in powers of 2. Understanding powers and roots can help in grasping fundamental programming concepts, making it not just an algebraic equation but a stepping stone into the world of tech!