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Evaluate the expression 32 divided by 4 x (16x 1/2)-2

User Akgill
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Final answer:

To evaluate the expression 32 divided by 4 x (16x 1/2)-2, use the order of operations (PEMDAS). Simplify inside the parentheses, divide, and then multiply. Apply any remaining exponents.

Step-by-step explanation:

To evaluate the expression 32 divided by 4 x (16x 1/2)-2, we need to follow the order of operations, which is also known as PEMDAS (parentheses, exponents, multiplication and division, and addition and subtraction). First, we simplify the parentheses by applying the exponent of 1/2 to 16x, which gives us 16x^(1/2). Then we divide 32 by 4 to get 8. Next, we multiply 8 by 16x^(1/2) to get 128x^(1/2). Finally, we apply the exponent of -2 to get the final result of 128x^(-2).

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