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Fraction rules A B C vs B C A - Mathematics Stack Exchange You have written the second the same way on the left, B (C A) = B CA B (C A) = B C A which is incorrect I suspect you meant to write (B C) A = B CA (B C) A = B C A which is correct and can be established by multiplying by C C C C The only clue in what you wrote is the size of the fraction bars and your top one is the largest in both cases
When is $(a^b)^c $ = $a^{bc}$ true? - Mathematics Stack Exchange 2 If b, c b, c are integer numbers than the rule (ab)c =abc (a b) c = a b c is true for all a ∈ R a ∈ R If at least one of the two exponent is a real non integer number than the rule is true only for non negative basis a a
discrete mathematics - Prove: $A × (B ∩ C) = (A × B) ∩ (A × C . . . You need to "element chase"; that is, suppose (x, y) ∈ A × (B ∩ C) (x, y) ∈ A × (B ∩ C) and then show you must have (x, y) ∈ (A × B) ∩ (A × C) (x, y) ∈ (A × B) ∩ (A × C), then do the other direction as well I'll do one direction for you and you can try the other yourself Suppose (x, y) ∈ A × (B ∩ C) (x, y) ∈ A × (B ∩ C) Then x ∈ A x ∈ A and y ∈ B ∩ C
$A-(B∩C)=(A−B)∪(B−C)$ proof - Mathematics Stack Exchange How do I prove the following equality A − (B ∩ C) = (A − B) ∪ (B − C) A − (B ∩ C) = (A − B) ∪ (B − C) Let Y = A − (B ∩ C) Y = A − (B ∩ C), Z = (A − B) ∪ (B − C) Z = (A − B) ∪ (B − C) I know that by definition must be a double containment Y ⊂ Z Y ⊂ Z and Z ⊂ Y Z ⊂ Y By drawing Venn diagrams, I believe that equality is not true so I want to do a
Boolean Simplification of ABC+ABC+ABC My question is how do I reduce A¯B¯C¯ + AB¯C¯ + ABC¯ A ¯ B ¯ C ¯ + A B ¯ C ¯ + A B C ¯ To get (A +B¯)C¯ (A + B ¯) C ¯ I'm so lost just been trying to get it for awhile only using the 10 boolean simplification rules