1 EASY $$4^{3}=$$

 2 EASY $$32356^{0}=$$

 3 EASY $$3^{4}=$$

 4 MEDIUM Mia says that $$2^4 = 4^2$$. Is Mia correct?

 5 MEDIUM Michael says that $$4^7 = 7^4$$. Is Michael correct?

 6 MEDIUM Matthew says that $$1^{18} > 1^3$$. Is Matthew correct?

 7 HARD Maria says that $$(-1)^{24} > (-1)^{23}$$. Is Maria correct?

 8 HARD $$2^{2^2}=$$

 9 HARD Ben the Bacterium and each of his duplicates duplicate themselves every minute. At 12:00, only 1 Ben the Bacterium is present in Jar A. At 12:01, two Bacteria are in the jar. At 1:00, the jar is full of bacteria. At what time was the jar half full?

 10 HARD $$2^{10}=$$

 11 HARD Ben the bacterium and each of his clones duplicate themselves every 15 seconds. If Ben was the only bacterium present in the petri dish at 3:02PM, how many bacteria would there be at 3:04PM?