Find the value of k if (-2)^(k+1) x (-2)^3 = (-2)^7.

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Answer: D. 3

When the bases are the same, multiplying means adding powers: (-2)^(k+1) x (-2)^3 = (-2)^(k+4). Setting k + 4 = 7 gives k = 3.

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Find the value of k if (-2)^(k+1) x (-2)^3 = (-2)^7.

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