• Card 8 / 13: 5. If a^b = c^d, which of the following is not necessarily true?
    A) a^b - c^d = 0
    B) a^b + c^d = 2 * (a^b)
    C) (a^b)/(c^d) = 1
    D) a = c
    E) a^b * c^d = a^(2*b)

    Answer:
    D) a = c

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Explanation:

A, B, C, and E can be proven by substituting a^b for c^d. However, D is not always true. For example, 2^3 = 8^1, but 2 is not equal to 8.

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