Answer:
10⁻² m
Step-by-step explanation:
A microscope magnifies an object 10⁵ times. The length of an object is 10⁻⁷ meters. The magnified length is:
10⁵ × 10⁻⁷ m
We can solve this by applying the Product of Powers Property. This property states that to multiply powers having the same base, we have to add the exponents.
10⁵ × 10⁻⁷ m = 10⁵⁺⁽⁻⁷⁾ m = 10⁵⁻⁷m = 10⁻² m
The magnified length is 10⁻² m.