If 1 over 64 is equal to 4 raised to the 2 s minus 1 power times 16 raised to the 2 s plus 2 power , what is the value of s ?

Rewrite each term as a power of 2: 1/64 = 2^-6, 4^(2s - 1) = 2^(4s - 2), and 16^(2s + 2) = 2^(8s + 8). Multiplying the powers of 2 adds their exponents, so -6 = 12s + 6. Solving gives s = -1, which is choice A, “negative 1.”

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