Cubing Exploding Dark Matter Bunnies
You have just purchased a rare and expensive type of bunny! They happily multiply by cubing every month.You start with 2 bunnies. For example: In the first month, you have 2 bunnies, in the second month you have 2^3 bunnies, which is 8 bunnies, and so on! You happily start feeding the bunnies their daily dark matter dosage, but then you come to a dark (pun intended) thought. The only problem is that the quantum condenser you bought to contain them only holds 2^243 bunnies! If you dare hold more then the correct amount inside it will break, filling this and the neighboring galaxy with swarms and swarms of bunnies. How many months (or years) do you have before you need to get a larger container before it breaks? *Disclaimer: This is DIFFERENT than the TED-ED riddle that also involves bunnies. If you've already solved, go to Cubing Exploding Dark Matter Bunnies Part 2!
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1 solution
Solution: You start with 2 bunnies, which is 2^1 Cubing it makes 2^3 bunnies, which is 2^3 Then cubing again, making 2^9 Then cubing again, making 2^27 Then cubing again, making 2^81 Then cubing again, making 2^243 There are 6 cubing steps in total, for a total of 6 months.