Wawa:
So it has a voltage regulator for the power.
That doesn't mean it also has level shifters for the I2C lines.The MPU-6050 might survive the (software only) pull up of the Nano.
Might be a different story if you connect another I2C device to the I2C bus, with hardware pull up.
Leo..
The i2c's are pulled up on the 3.3V side of the breakout R4 and R5 so you don't need resistors just make sure you don't turn the i2c pins high. the i2c only pulls the pins low and lets the pull-up resistors dictate the top voltage
