Sony A6300 has a 24.0MP APS-C (23.5 x 15.6 mm ) sized CMOS sensor and features BIONZ X processor. On the other hand, Olympus E-M10 MIII has a 16.0MP Four Thirds (17.4 x 13 mm ) sized CMOS sensor and features TruePic VIII processor. Sony A6300's sensor provides 8MP more than Olympus E-M10 MIII's sensor, which gives a significant advantage in real life. You can print your images larger or crop more freely.
On the other hand, please keep in mind that Max sensor resolution is not the only determinant of resolving power. Factors such as the optical elements, low pass filter, pixel size and sensor technology also affects the final resolution of the captured image.
Below you can see the A6300 and E-M10 MIII sensor size comparison.
As seen above, Sony A6300 has a 1.6x Larger sensor area than Olympus E-M10 MIII. Larger sensors give photographer more control on the depth of field and blurry background compared to smaller sensor when shot in same focal length and aperture.