Final answer:
The expression (216/1000)x⁻² (3/xy) simplifies to 0.648 / (x³y) after dividing 216 by 1000, combining like terms, and simplifying the exponents.
Step-by-step explanation:
To simplify the expression (216/1000)x⁻² (3/xy), we need to combine the terms and factor any common terms or exponent rules.
First, let's divide 216 by 1000, which simplifies to 0.216. The expression now looks like this: 0.216x⁻² (3/xy).
Now we have x⁻² (which is 1/x²) and x in the denominator, we can simplify this to x⁻³. Multiplying 0.216 by 3 gives us 0.648. Putting it all together, we have 0.648 / (x³y).
The final simplified expression is 0.648 / (x³y).