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Write the equation: -1/16 ÷ (4 - 17/4)^2.

A) -16/289
B) -289/16
C) -1/289
D) 289/16

User Skistaddy
by
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1 Answer

4 votes

Final answer:

After simplifying the equation -1/16 ÷ (4 - 17/4)^2, we find that the answer is -1, which does not match any of the provided options. This might imply an error in the question or the options.

Step-by-step explanation:

The question asks us to solve the equation -1/16 ÷ (4 - 17/4)^2. First, we need to simplify the expression inside the parentheses: (4 - 17/4). To do this, convert the integer 4 into a fraction with a common denominator which is 16/4, then subtract 17/4 from 16/4 to get -1/4.

Next, square the result of -1/4 to get (1/4)^2, which equals 1/16. Finally, we need to divide -1/16 by 1/16. This is the same as multiplying -1/16 by the reciprocal of 1/16, which is 16/1. Thus, the answer is -1/16 × 16/1 = -1.

Therefore, the correct answer is -1, which is not listed among the options A) -16/289 B) -289/16 C) -1/289 D) 289/16, indicating a possible error in the question or the provided options. If no error is present in the question or options, an understanding might be clarified, since the mathematical process indicates a result of -1.

User Tsnowlan
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