Project Euler Problem 99: Largest exponential
Comparing two numbers written in index form like 211 and 37 is not difficult, as any calculator would confirm that 211 = 2048 < 37 = 2187.
However, confirming that 632382518061 > 519432525806 would be much more difficult, as both numbers contain over three million digits.
Using base_exp.txt (right click and 'Save Link/Target As...'), a 22K text file containing one thousand lines with a base/exponent pair on each line, determine which line number has the greatest numerical value.
NOTE: The first two lines in the file represent the numbers in the example given above.
Support: Students will need to learn/know: if statements, for loops, and how to read information from a text file.
Standard addressed: A-SSE3. Write expressions in equivalent forms to solve problems. [Quadratic and exponential] Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.Â