what is 10x and 15x in misro scopes's eye piece?

10 X, 15 X on the eye piece are the power of magnifications. Here 10x means that lens has magnification of 10 times and 15x means magnification of 15 times.  

You must have seen that on objective lens also it will be mentioned as 4 X or 10 X or 40X
So when we are looking a particular specimen under a microscope in 10X eyepiece and 4 X objective lens. It means that the total magnification of an image that you are viewing through the microscope will be
10X x 4X = 40 X (40 times bigger)
Similarly, 10X x 10X = 100X (100 times bigger)
I hope you got it!

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