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: 3100 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! Calculator uses the double data type. (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 34100 overflow in the float data type? Why? If so, at which integer n