1.9. Homer Simpson, in the 1998 episode "The Wizard of Evergreen Ter- race," claimed he had a counterexample to Fermat's Last Theorem, and it was that 398712 + 436512 = 447212. This exercise considers whether it is pos- sible to prove numerically that Homer is correct. Note that another (false) counterexample appeared in the 1995 episode "Treehouse of Horror VI. (a) Calculate 398712 + 436512 447212. If Homer is right, what should the answer be? (b) Calculate (398712 + 436512)1/12 4472. If Homer is right, what should the answer be? (c) Calculate 398712 + 436512 447212 If Homer is right, what should the answer be? (d) Calculate [(398712 + 436512) /12712 447242. If Homer is right, what should the answer be? (e) One argument that Homer could make is that ) is the correct result and (a) and (b) can be ignored because if they are correct then you should not get a discrepancy between (a) and (d). Explain why MATLAB cannot be used to prove whether Homer is right or wrong. Note: Homer's blackboard containing the stated formula, along with a few other gems, can be found in Singh [2013]. It also explains why Homer appears to have an interest in mathematics and physics