Module 4_Group Challenge Problem.docx - Module 4 Group...

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Module 4 – Group Challenge Problem Find the Mistake using a = 3, b = 2, n = 4 1) ^ ? 3 ^ ? 4 = ^ ? 12 2^3 2^4 = 2^12 8 16 4076 8 16 = 128 2^12 = 4096 Correction: b^3 x b^4 = b^7 Check: 2^3 2^4 = 2^3+4 = 2^7 = 128 2) 5^16/5^4 = 5^4
152,587,890,625/625 625 152,587,890,625/625 = 244,140,625 5^4 = 625 Correction: 5^16/5^4 = 5^12 Check: 5^16-4 = 5^12 = 152,587,890,625/625 = 244,140,625 3) ( ? + ? )^2 = ^ ? 2 + ^ ? 2 (3 + 2)^2 = 3^2 + 2^2 (3 + 2)(3 + 2) = 3^2 + 2^2 3^2 + (3 2) + (3 2) + 2^2 = 3^2 + 2^2 9 + 6 + 6 + 4 = 9 + 4 25 13 Correction: (a + b)^2 = a^2 + 2ab + b^2 Check: (3 + 2)(3 + 2) = 3^2 + (3 2) + (3 2) + 2^2 = 3^2 + 6 + 6 + 4^2 = 9 + 12 + 4 = 25
4) (4 ? )^3 = 4 ^ ? 3 (4 3)^3 = 4 3^3 4^3 3^3 = 4 3^3 64 27 = 4 27 1728 108 Correction: (4a)^3 = 64a^3 Check: (4 3)^3 = 4^3

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