Microscope magnifies an object 10^5 times. The length of an object is 10^-7 meter. What is it's magnified length?

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.

10^-7 m * 10^5 = 10^-2 m = 0.01 m = 1 cm