1.Explain the basic difference between the two subsets of inference rules. Derive the conclusion from the given premises for the 4 exercises below. (NB: these are extracted mainly from textbook Exercise 4-8 except the last one.) [43-2] C: ~B P1: A & (B -> C) P2: ~(C & A) [43-3] C: C P1: (A & B) V (C & D) P2: ~A [43-4] C: ~B P1: (A & B) -> C P2: A & ~C [43-5] (Hint: use Equiv to break P1, an equivalence, into a conjunction of 2 conditionals) C: ~U P1: (A & U) <-> ~R P2: ~(~R V ~A)

(01.02 mc) asap plzzzwhich of the following correctly simplifies the expression 3 to the power of 2 multiplied by 5 to the power of 0 whole over 4, the whole squared.? select one: a. 3 to the power of 2 multiplied by 1 whole over 4, the whole squared. = 3 to the power of 1 multiplied by 1 squared over 4 squared. = 1 over 6.b. 3 to the power of 2 multiplied by 0 whole over 4, the whole squared. = 3 to the power of 4 multiplied by 0 over 4 squared. = 0c. 3 to the power of 2 multiplied by 0 whole over 4, the whole squared. = 3 to the power of 1 multiplied by 0 over 4 squared. = 0d. 3 to the power of 2 multiplied by 1 whole over 4, the whole squared. = 3 to the power of 4 multiplied by 1 squared over 4 squared. = 81 over 16.