Final answer:
The magnified length of an object that is 10^-7 meters when magnified 10^5 times by a microscope is 0.01 meters, or 1 centimeter.
Step-by-step explanation:
If a microscope magnifies an object 10⁵ times and the actual length of the object is 10⁻⁷ meter, we can calculate the magnified length by multiplying these two values together. The calculation is straightforward: magnification times the actual length.
To perform the calculation, simply multiply 10⁵ (100,000) by 10⁻⁷ meters (0.0000001 meters). This results in a magnified length of 0.01 meters or 1 centimeter, which is the length of the object as it appears under the microscope.