Compute powers of 3 using different tools and calculator (34%) 3. (34%) Here the number 3^100 = 3100 (3 to the 100th power, or 3*3*3... 100 times) is calculated using calculator from Windows 10: 3 4 100 = 5.1537752073201133103646112976562e+47 (a) (8%) From the output (the power e+47) and the number of digits after the decimal point, can you conclude that the calculator uses which of the following data types: short, int, long, float, double, or none of them? Explain! None above, because it will overflow, for double : 5.15378e+47, long: -2147483648, short: 0, float: inf, and int: -2147483648 (b) (10%) Smallfact3.java on Blackboard calculates the powers of a certain integer (you can use that to calculate the powers of 3. Also you can write your own code). Does 3^100 overflow in the float data type? Why? If so, at which integer n