Answer:
To simplify the expression (3/125 - 12/2)(4 - 6)^2, let's break it down step by step: Step 1: Simplify the fractions First, simplify the fraction 3/125. To do this, we need to find the least common denominator (LCD) of 125 and 2, which is 250. Multiplying the numerator and denominator of 3/125 by 2 gives us 6/250. Next, simplify the fraction 12/2. Since 12 divided by 2 is equal to 6, we have 6/2. Our expression now becomes (6/250 - 6)(4 - 6)^2. Step 2: Simplify the exponent Since the exponent is 2, we need to square the expression (4 - 6). Squaring a number means multiplying it by itself. Therefore, (4 - 6)^2 becomes (-2)^2, which is equal to 4. Our expression now becomes (6/250 - 6)(4 - 6)^2 = (6/250 - 6)(4)(4). Step 3: Perform the multiplication Next, we multiply the fractions by 4. Multiplying 6/250 by 4 gives us (24/250). Our expression now becomes (24/250 - 6)(4)(4). Step 4: Simplify the expression Now we can subtract the fraction (24/250) from 6. Subtracting fractions requires finding a common denominator, which is 250 in this case. (24/250 - 6) becomes (-226/250). Our expression now becomes (-226/250)(4)(4). Step 5: Perform the final multiplication Finally, we multiply the fraction (-226/250) by 4 and then by 4. Multiplying (-226/250) by 4 gives us (-904/250). Multiplying (-904/250) by 4 again gives us (-3616/250). Therefore, the simplified expression (3/125 - 12/2)(4 - 6)^2 is equal to (-3616/250).
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