A cube has side lengths of 2^5 cm long. If Sam has 16 of these cubes, what total volume would the cubes occupy written as a power of 2?
The total volume is 2^____ cm^3
Since each cube has side lengths of 2^5 cm, the volume of each cube would be (2^5)^3 cm^3. Simplifying this expression, we get 2^(5*3) cm^3, which is equal to 2^15 cm^3.
If Sam has 16 of these cubes, the total volume would be 16 * 2^15 cm^3. Simplifying this expression, we get 2^4 * 2^15 cm^3, which is equal to 2^(4+15) cm^3.
Therefore, the total volume of the 16 cubes would be written as 2^19 cm^3.