Final answer:
The division of 50 cm² by 0.10 m is possible after converting meters to centimeters. Since 1 cm² = 10⁻⁴ m², we find that the result of the division is 5.
Step-by-step explanation:
The question is whether the division of measurements 50 cm² / 0.10 m is possible, and if so, to write the result. This operation is indeed possible, but we need to ensure that the units are compatible before performing the division. We can convert 0.10 m to centimeters, knowing that 1 m = 100 cm.
To convert, multiply 0.10 m by 100 cm/m, which gives us 10 cm. However, we're dealing with square centimeters (cm²), so the conversion factor should be squared as well. Using the conversion 1 cm² = (10⁻² m)², we can find that 1 cm² = 10⁻⁴ m². Therefore, dividing 50 cm² by 10 cm² gives us 5 as the result, because the cm² units cancel out.