IM 8.7.3 Lesson: Powers of Powers of 10
What is the volume of a giant cube that measures 10,000 km on each side?
Complete the table to explore patterns in the exponents when raising a power of 10 to a power. You may skip a single box in the table, but if you do, be prepared to explain why you skipped it.
If you chose to skip one entry in the table, which entry did you skip? Why?
If you took the amount of oil consumed in 2 months in 2013 worldwide, you could make a cube of oil that measures meters on each side. How many cubic meters of oil is this?
Do you think this would be enough to fill a pond, a lake, or an ocean?
Andre and Elena want to write with a single exponent.
Do you agree with either of them? Explain your reasoning.
. How many other whole numbers can you raise to a power and get 4,096? Explain or show your reasoning.